Q2/A) Knowing that A 2i+ mj + k & B =5i +j+ 4k are perpendicular vectors. Find thevaluc of m then find A x BB) If you have two planes, plane I whose equation is 2x + y - z = 3 and plane 2 withequation x+2y+7=2, Find the following:1- Find a vector parallel to the line of intersection.2- Find the angle between the two planes.

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Answered: Q2 A) Knowing that A = 2i + mj +k & B…

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Q2 A) Knowing that A = 2i + mj +k & B -5i +j+ 4k are perpendicular vectors. Find the value of m then find A x B

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

Q2/
A) Knowing that A 2i+ mj + k & B =5i +j+ 4k are perpendicular vectors. Find the
valuc of m then find A x B
B) If you have two planes, plane I whose equation is 2x + y - z = 3 and plane 2 with
equation x+2y+7=2, Find the following:
1- Find a vector parallel to the line of intersection.
2- Find the angle between the two planes.

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