if a = 2i + 4j - 3k and b = i + 3j +2k, determine the scalar and vector products and the angle between the two given vectors   answer 8, 17i - 7j + 2k, theta =66 36'

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact…

A: Given :Make an angle of 45° with 7i + 4j

Q: 12 If the position vectors of P and Q are i+3j- 7k and 5i - 2j + 4k respectively, find PQ and…

A: Since,you have posted multiple questions so according to our guidelines we will solve only first…

Q: If the position vectors of P and Q are i + 3j- 7k and 5i- 2j+ 4k respectively, find PQ and determine…

A: The equation of the line, PQ passing through the points P and Q is defined as follows.…

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: unit

A: To get the unit vector that is in the same direction as the original vector v, we divide the vector…

Q: Find two unit vectors parallel to v = -2i + 5j – 3k.

A: Given:- v=-2i +5j-3k  To find:- Two units vectors parallel to given vector v

Q: Are the three vectors: Ū;=4i-8j+k,V=2i+ J-2K and Ūz =3 i-4 j+12K in the Same Plane?

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Q: 1. Given two vectors P= ai+ bi + ck where a, b,c represent the last three digits of your index…

A: According to question vector's will be, P→=ai+bj+ck=0i+2j+8kQ→=-3i-5j+4k i) Dot product between…

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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Q: Find the angle between the two vectors and determine if theY are, or thogonai: ü=5i-33+2k ahd V=-i-…

A: We will use the formula: θ=cos-1u→·v→u→v→First we calculate:…

Q: Find two unit vectors that are perpendicular to both j+ 5k and i - 5j + 2k. (Enter your answers as a…

A: The given vectors are j+5k and i-5j+2k

Q: Find the angle between the planes whose vector equations are 7-(2i + 2)- 36) =57-(3i -3) + Sk) = 3…

A: The solution to the the given question is explained below.

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

A:

Q: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

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Q: Find the angle between the vectors 8i + 9j + 10k and 6i + 11j + 12k. ... The angle between 8i + 9j +…

A: Given that: vectors are: 8i+9j+10k and 6i+11j+12k

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j NOTE: Enter the exact…

A:

Q: The unit vector perpendicular to the vectors n1= i-j+3k ,n2=2i+j+3k is a vector?

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Q: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: a)a→=-3 i + 8 jUnit vector as the same direction;u= a→a→ =(-3 i + 8 j)(-3)2+(8)2u=(-3 i + 8…

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

A: Let the given vectors be  u→=3i-4j+5kv→=4i+5j-6k we have to find the unit vector perpendicular to…

Q: 12. If the position vectors of P and Q are i + 3j-7k and 5i- 2j + 4k respectively, find PQ and…

A: NOTE: Hi! Thank you for your question. As per the honor code we are allowed to answer one question…

Q: Show that the points with position vectors 3i−5j, 4i+j, 6i+13j are collinear. If the point whose…

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Q: find the cosine of the angle between the vectors. (1, 1, 1), (2, −1, 2)

A: Given: (1, 1, 1), (2, −1, 2)

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: Find the cosine of the angle between the vectors with respect to the standard inner product on P2.…

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Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: 19. Show that the pair of vectors 8i+j and i-8j is perpendicular.

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Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  find the norm

Q: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

A: As we are solving only one problem at a time please submit the other question one by one as you…

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i+ 4j. NOTE: Enter the exact…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

A:

Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

A: The given vector is a=2i-3j+6k. Compute the length of the vector as follows. a=22+-32+62=4+9+36=49=7…

Q: (B): Find the unit vector 3i - 4j + 5k perpendicular to the vectors: 4i + 5j-6k

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Q: Express the vectors in terms of their lengths anddirections. √2i + √2j

A: If a vector is defined as: v→=ai+bj Then, the length or magnitude of the vector is: |v→|=a2+b2 The…

Q: Find the angle between the vectors u = 3i + 4j, v = −2j + 3k (a) in radians and (b) in degrees.

A: Our Aim is to find the angle between the vectors given below:- u=3i⇀+4j⇀ and v=-2i⇀+3k⇀(a) in…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Find two unit vectors that are perpendicular to both  j + 5k  and  i − 2j + 5k.  (Enter your…

A: The given vectors are u=0i+j+5k   and  v= i-2j+5k. Compute the cross product as follows.…

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+6j. NOTE: Enter the exact answers…

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Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). %3D cos-(금) O b. cos-) c. cos) O d.…

A: We need to find the angle between the vectors a=(3,4,0) and b=(4,4,2) We know a·b=|a||b|cos(θ) here…

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. Enter the vector i as i,…

A: here here we have

Q: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

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Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

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Q: Find the dot product of the vectors v = 5i - 3j and w = 2i - j.

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Q: If a = 3i – j +2k, b = I + 3j – 2k, determine the magnitude and direction cosine of the product…

A: Dot Product: Let u=u1i+u2j+u3k and v=v1i+v2j+v3k be two vectors. Then the dot product of u and v is…

Q: Find the angle between two vectors a = (3, 4, 0) and b= (4,4, 2). %3D O a. COS 15 1 (금) O b. CoS Oc.…

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Q: The position vectors of points A, B and C are given as OA = 4i + j-3k , OB = 7i+3j-5k and OC =…

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Q: One of the components of cross ultiplication of the vectors A = 21 + 3 *:j + 4k and B = i-2j+3k is…

A: Given vectors are A=2i+3j+4k and B=i-2j+3k. Cross multiplication of given vectors is:…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.