Give the vectors M = -10å, + 4ảy-8ã, and vectors N = 8å, + 7ãy-2ãz, find the following: 1. a unit vector in the direction of –M + 2N e a. 0.9239đ – 0.3553đy-0.1421â, b. 0.9239đx + 0.3553đy + 0.142iã, с. 26а, + 10ӑ, + 4ӑ, d. 26å, – 10åy±4ã, 2. the magnitude of 5đx + N – 3M (

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A. Give the vectors M = –10å + 4ãy-8đz and vectors N = 8å,, + 7ảy-2ãz, find the following:
%3D
1. a unit vector in the direction of –M + 2N
a. 0.9239đ, – 0.3553đ,-0.1421đ,
b. 0.9239đ, + 0.3553đy + 0.1421đ,
с. 26а, + 10ӑ, + 4ӑ,
d. 26ӑ, — 10ӑ, +4ӑ,
2. the magnitude of 5đx + N – 3M (
а.
38.6135 units
b.
32.2180 units
с.
48.5592 units
d.
46.5592 units
3. ||M|| ||2N||(M + N)
a. -21.6333åx + 118.9832đ,-108.1665đ,
b. -290.2413ä, + 1596.3226ã,-1451.2064ã,
c. -480.4826ã,, + 192.6541đy-902.4128đ,
d. -580.4826đx + 3192.6541đy-2902.4128đ,
Transcribed Image Text:A. Give the vectors M = –10å + 4ãy-8đz and vectors N = 8å,, + 7ảy-2ãz, find the following: %3D 1. a unit vector in the direction of –M + 2N a. 0.9239đ, – 0.3553đ,-0.1421đ, b. 0.9239đ, + 0.3553đy + 0.1421đ, с. 26а, + 10ӑ, + 4ӑ, d. 26ӑ, — 10ӑ, +4ӑ, 2. the magnitude of 5đx + N – 3M ( а. 38.6135 units b. 32.2180 units с. 48.5592 units d. 46.5592 units 3. ||M|| ||2N||(M + N) a. -21.6333åx + 118.9832đ,-108.1665đ, b. -290.2413ä, + 1596.3226ã,-1451.2064ã, c. -480.4826ã,, + 192.6541đy-902.4128đ, d. -580.4826đx + 3192.6541đy-2902.4128đ,
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