Q3)A) Find the acute angle between the planes 2x + 2y-z= 3 and x + 2y + z = 2. B) Find a vector parallel to the plane 2x - y- z = 4 and orthogonal to i + j+ k. C) Find a vector of magnitude 7 in the direction of v = 12i – 5k.

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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Q3)A) Find the acute angle between the planes 2x + 2y - z = 3 and x+ 2y + z = 2.
B) Find a vector parallel to the plane 2x - y-z = 4 and orthogonal to i +j +k.
C) Find a vector of magnitude 7 in the direction of v = 12i – 5k.
Transcribed Image Text:Q3)A) Find the acute angle between the planes 2x + 2y - z = 3 and x+ 2y + z = 2. B) Find a vector parallel to the plane 2x - y-z = 4 and orthogonal to i +j +k. C) Find a vector of magnitude 7 in the direction of v = 12i – 5k.
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