In physics, it is important to use mathematical approximations.(a) Demonstrate that for small angles (< 20°)                        tan a ≈ sin a ≈ a =  (πa')/(180°)where a is in radians and a' is in degrees. (b) Use a calculator to find the largest angle for which tan a may be approximated by a with an error less than 10.0%.

Q: Obtain expressions in component form for the following polar coordinates. A) 13.0 m, 140 degrees…

A: The projections of vector R on the axis: Rx=RcosθRy=Rsinθ   The vector in the component notation:…

Q: The curved portion of the v-t curve shown in the figure are second degree parabolas with horizontal…

A: Given slope at t=0 and t=12 sec. We have to  Determine the displacement at t=18 sec. 30 Ans: 282

Q: Given the two displacements D= (6.00î + 3.00ĵ – 1.00R)m E = (4.00î – 5.00ĵ + 8.00k) Find the…

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Q: Given the vector A - 100.0ON at 30.00° above the negative x-axis, In terms of rectangular form. the…

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Q: The figure below shows three vectors. The magnitudes are F1 = 5.0 N, F2 = 2.0 N, and F3 = 3.O N,…

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Q: After slapping the burglar in the Tondo, Rodrigo ran to a nearby hut which is s = (300+) meters from…

A: s = 1.25t-0.35 - 3t3cos(-5t)+0.25t4e0.5tDistance of hut = 300+274100

Q: Which are possible errors in Visual Python? Select one: O Syntax and Math (Logic) O Systematic and…

A: Possible types of error in visual python are syntax error, logical error and exceptions. Therefore,…

Q: For the vectors á (3.0 m )î + (4.0 m )j and B = (5.0 m )i + ( – 2.0 m 3, give d + b in (a) unit-…

A: a) a+b = (3i+4j)+(5i-2j) a+b= 8i-2j Magnitude of (a+b) = √(8²+2²) = √68 So unit vector =…

Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

Q: Complete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component -50 N…

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Q: For the following three vectors, what is 3 C (3A x B A = 3.00î + 4.00 – 3.00k B=-4.00î + 3.0oj +…

A: A→ = 3i^ + 4j^ - 3k^B→ = -4i^ + 3j^ + 2k^C→ = 6i^ - 7j^3.C→ = 3.(6i^ - 7j^)= 18i^ - 21j^

Q: Problem: A man finds the angle of elevation of the top of a tower to be 30° He walks 85 m nearer the…

A: Consider the figure

Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

A:

Q: Two vectors A and B have precisely equal magni- tudes. For the magnitude of Á + B to be larger than…

A: given,

Q: Force m (g) w (N) = mg θ (°) F1 60.0g = 0.06kg 0.588N 95° F2 75.0g = 0.075kg…

A: Given : F1 = 60g or 0.06kg or 0.588N and θ1 = 95° F2 = 75g or 0.075kg or 0.735N and θ2 = 215° F3 =…

Q: according to what you learned from the vector addition experiment, if we have vectors a = 2.4x – 3ŷ…

A: Given: a→=2.4x^-3y^ b→=4x^+5.5y^ Introduction: The vector components of the same directives are…

Q: The cross product of j x i is a. 0 b.1 c. –k d. -1

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: For the vectors A and D in Fig. El.28, (a) find the magni- tude and direction of the vector product…

A:

Q: The Curve Fit tool (Logger Pro software) was used to obtain the slope m of the straight line. The…

A: Step1: Overview The mean value and the uncertainty should contain an equal number of digits after…

Q: Given the following vectors: S = 3i -j+ 5k %3D P = 2i + 4j - 6k +9K Q = -7i + 2j + 9k %3D Obtain the…

A: S→ = 3i^ - j^ + 5k^P→ = 2i^ + 4j^ - 6k^Q→ = -7i^ + 2j^ + 9k^

Q: Given TÄ| =14 and lB| = 50.5, find the scalar A · B when a = 97.3 °. %3D %3D

A: The scalar product of and  is given by, Here,    is the angle between the vectors and

Q: 2. A ladder is 6 feet from a building. The building is 20 feet tall. The angle opposite the ladder…

A: The distance of the ladder from the building , x = 6 feet  The height of the building , y = 20 feet…

Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: A ball is projected with velocity 10 m/sec at angle of 30° with the horizontal surface. The angle…

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Q: Obtain expressions in component form for the position vectors having the following polar…

A: (a) 13 m at 140 degree  The resultant R is given by  R→ = 13 (Cos 140 i^ + Sin 140 j^)R→ = - 9.96 i^…

Q: Let B = 4.80 m at 60.0°. č and A have equal magnitudes. The direction angle of č is larger than that…

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Q: 1) Given the following displacement vectors: +y 20.00 35.0° 50.0° The magnitudes of the 4…

A: There are many subparts so we will solve first 3 subparts for you. if you want the solution for rest…

Q: 1. Given the following vectors: 5 = -1.00 i - 3.00 j + 4.00 k A = 3.00 i + 4.00 } %3D a. (5 points)…

A:

Q: Let A = 2i + 6j -3k , and B = 4i + 2j + k. The %3D %3D vector difference D = A - B is: а. бі+ 8j-2k…

A: Given : A= 2i+6j-3k B= 4i+2j+k

Q: Obtain expressions in component form for the position vectors having the following polar…

A:

Q: Ã (A 44.0) 56.0 28.0 Ĉ (C = 31.0) Let resultant vector be R Ā - B. %3D The x-component of resultant…

A:

Q: Can someone please help me understand this question and how to get the answer? Two displacement…

A: In this question we have to find the magnitude of the sum of the two vectors. Please give positive…

Q: 45. Let S=(1 m)î + (2 m)ĵ +(2 m)k and T = (3 m)î +(4 m)k. The angle between these two vectors is…

A:

Q: If ū = (7, –6, 0) and i = (1, 1,0), find the length and direction of ủ x ủ and i xu. %3D Length of u…

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Q: If S = (1 m) i + (2 m) j + (2 m) k and T = (3 m) i + (4 m) k, the angle between the two vectors a)…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Let 0 be the angle that the vector A makes with the +x-axis, measured counter-clockwise from that…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: Obtain expressions in component form for the position vectors having the following polar coordinates…

A: (a) 13 m at 140° The vector R is given by  R→ = 13cos 140° i^+ sin 140° j^R→ =- 9.96 i^ + 8.36 j^ m…

Q: It is known that the curve vector equation is R(t) = 4t i + 2(t2 – 1) j. Find the unit tangent…

A:

Q: Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗…

A: A→ = -2i^ + 3j^ + 4k^B→ = 3i^ + j^ - 3k^

Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: a) Given data  The coordinates of point A is given as, x1,y1=3.50,-5 m The coordinates of the point…

Q: Its 4 units makes an Angle of A, vector.30 degrees, with the positive direction of the X-axis: its…

A:

Q: Solve 1-2 using the given following vectors. + = (5i – 4j + 8k )m A (30i + 12j + 10k )N (8i + 4j +…

A: Please see the answer below

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.