Take the two vectors: A = 3i + 4j C = 3i - 4k Let A and C be represented by arrows extending from the origin. (a) Find the length of line line segment that joins their endpoints. (b) This line segment is parallel to one of the coordinate planes. Which one?   I calculated the length of the line segment by calculating the magnitude of the vector A - C and came out with a solution of 4sqrt(2). However, I have no clue how to determine part b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
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Take the two vectors:

A = 3i + 4j

= 3i - 4k

Let and C be represented by arrows extending from the origin.

(a) Find the length of line line segment that joins their endpoints.

(b) This line segment is parallel to one of the coordinate planes. Which one?

 

I calculated the length of the line segment by calculating the magnitude of the vector C and came out with a solution of 4sqrt(2).

However, I have no clue how to determine part b.

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