Let u =j- 5k, v = - 10i + 2j – 2k, w= 5i - j+k. Which vectors, if any are (a) perpendicular? (b) Parallel? ... (a) Which vectors are perpendicular? Select the correct choice below and fill in the answer box(es) within your choice O A. Vector is perpendicular to vectors . (Use a comma to separate answers as needed.) O B. The vectors are perpendicular. (Use a comma to separate answers as needed.) O C. None of the vectors are perpendicular.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 39E
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Let u =j- 5k, v = - 10i + 2j – 2k, w= 5i - j+k. Which vectors, if any are (a) perpendicular? (b) Parallel?
(a) Which vectors are perpendicular? Select the correct choice below and fill in the answer box(es) within your choice.
O A. Vector
is perpendicular to vectors . (Use a comma to separate answers as needed.)
B. The vectors
are perpendicular. (Use a comma to separate answers as needed.)
O C. None of the vectors are perpendicular.
Transcribed Image Text:Let u =j- 5k, v = - 10i + 2j – 2k, w= 5i - j+k. Which vectors, if any are (a) perpendicular? (b) Parallel? (a) Which vectors are perpendicular? Select the correct choice below and fill in the answer box(es) within your choice. O A. Vector is perpendicular to vectors . (Use a comma to separate answers as needed.) B. The vectors are perpendicular. (Use a comma to separate answers as needed.) O C. None of the vectors are perpendicular.
Expert Solution
Step 1

The given vectors are: u=j-5kv=-10i+2j-2k,  w=5i-j+k

If two vectors are perpendicular then their dot product is equal to zero.

If two vectors x and y said to be parallel then x=cy for some real number c.

 

 

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