Answered: The initial and terminal points of a… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

See similar textbooks

Related questions

Question

The initial and terminal points of a vector v are given.
Initial point: (-1, 3, 4)
Terminal point: (4, 4, 5)
(a) Sketch the directed line segment.
-10
(c)
X
10
(b) Find the component form of the vector.
v = (v₁₁ V₂ V3) =
-10
10
Write the vector using standard unit vector notation.
X
5-10
(d) Sketch the vector with its initial point at the origin.
10
10
-10
O
O
10
Jo
*
10
-10
X
10
10
10
O
10
-10
X
X
10
10
10
10
-10
O
O
10
-10
X
X
10
-10

Plot the points on the same three-dimensional coordinate system.
(a) (2, 5, 3)
(b) (-6, 3, 2)
O
10
10.
S
10
10
-10
-10.
5
10
10

Expert Solution

Step by step

Solved in 6 steps with 11 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =[ODi+Di+ (Dk] (Simplify your answers. Use integers or fractions for any numbers in the expression.)
How do you subtract two vectors algebraically? Geometrically?
Express the vector - 6i+ 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =Oi+ (Di+ ()k] (Simplify your answers. Use integers or fractions for any numbers in the expression.)
Q1(A): [9 Marks] Two vectors A and B are located at P1(2,2,2) and P2(2,-2,-2). Write vector notation for each starting from the origin. What will be the distance between both vectors? Determine the dot product and the angle between them.
What is the component form of the vector represented by 2a when a (-23)7
Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) x + 4a - b = 4(x + a) - (2a - b) X =
Describe the graph of the equation: r = 3ti - 8j + (1 + 3t) k. [Choose the correct answer.] The equation is a line in 3-space through the point (0, - 8) and parallel to the vector 3i+ 3k. O The equation is a line in 3-space through the point (3) and parallel to the vector - 8j + k. O The equation is a line in 3-space through the point (0, - 8) and perpendicular to the vector 3i + 3k. O The equation is a helix in 3-space containing the point (0, - 8) and above a circle with radius 6.
Express the vector P₁ P₂ in the form v=v₁l+V₂j+V3k if P₁ is the point (-4,-9,-6) and P₂ is the point (9,7.-1). P1P2=++ Ok (Simplify your answers.) 2 C
Sketch the vectors 7+wand - W. (2, 3, -6) and w (-1,1,1) and draw -7,
Calculate the velocity and acceleration vectors and the speed of r(t) = (66) at the time t = 4. 6+1² (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(4) = a(4) = Calculate the speed of r(t) at the time t = 4. (Use symbolic notation and fractions where needed.) v(4) =
A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. 30° | 45° (a) Express the velocity of the wind as a vector in component form. 25i + 212j (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answ to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N 45 X °E
Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS