Given u = (16, —2) and v = (22,—-14), find -—-u-²2 Given u = (-8,-2) and v = (-5,11), find 8u -5v. Find the dot product of u =(-3,4) and v=(-8,-16)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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8.
9.
10.
Find the exact magnitude of c = (-1,-9). Show your work and write your answer on the
line provided.
8.
Find the exact magnitude of c = (3,12). Show your work and write your answer on the
line provided.
9.
Find the direction angle of the vector (-1,5) in degrees. Draw a picture of this vector in
the correct quadrant. Then use your calculator to find the tangent inverse of the angle
in that quadrant. Write your answer on the line provided.
10..
Transcribed Image Text:8. 9. 10. Find the exact magnitude of c = (-1,-9). Show your work and write your answer on the line provided. 8. Find the exact magnitude of c = (3,12). Show your work and write your answer on the line provided. 9. Find the direction angle of the vector (-1,5) in degrees. Draw a picture of this vector in the correct quadrant. Then use your calculator to find the tangent inverse of the angle in that quadrant. Write your answer on the line provided. 10..
**Show all work for each problem and write your final answers on the lines provided. Read
and follow the directions carefully.
1.
2.
3.
4.
5.
6.
7.
1 3
Given u = (16,-2) and v= (22,-14), find u
Given u = (-8,-2) and v = (-5,11), find 8u -5v.
V.
Find the dot product of u =(-3,4) and v = (-8,-16)
Find the dot product of u =(5,10) and v = (19,-9)
1.
2.
3.
4.
Are the vectors u = (12,-3) and v=(4,-16)orthogonal? Use a complete sentence to
explain your answer and show your work.
A vector has a magnitude of 8 and a direction of 240°. Write an equivalent vector in
exact a₁ + bj form.
6.
Find the horizontal and vertical components of the vector whose magnitude is 450 mph
with a directional angle of 157.5°. The write your answer in a₁ + bj form, rounding to the
nearest tenth of a degree.
Transcribed Image Text:**Show all work for each problem and write your final answers on the lines provided. Read and follow the directions carefully. 1. 2. 3. 4. 5. 6. 7. 1 3 Given u = (16,-2) and v= (22,-14), find u Given u = (-8,-2) and v = (-5,11), find 8u -5v. V. Find the dot product of u =(-3,4) and v = (-8,-16) Find the dot product of u =(5,10) and v = (19,-9) 1. 2. 3. 4. Are the vectors u = (12,-3) and v=(4,-16)orthogonal? Use a complete sentence to explain your answer and show your work. A vector has a magnitude of 8 and a direction of 240°. Write an equivalent vector in exact a₁ + bj form. 6. Find the horizontal and vertical components of the vector whose magnitude is 450 mph with a directional angle of 157.5°. The write your answer in a₁ + bj form, rounding to the nearest tenth of a degree.
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