Let m, n, and p be vectors on R³. Suppose m = 2i – 3j + 4k, n = 3i + 2k – 3j, p = -5i – 2k + 4j i. Locate the three vectors on the R3 plane. Solve for the following: а) 4m-5n b) m • p с) по (тxpр) d) ||m + p|| e) Angle between m and n f) Unit vector in the same direction as p ii.

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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11 - 25.
Let m, n, and p be vectors on R3.
Suppose m = 2i – 3j + 4k, n = 3i + 2k – 3j, p = -5i – 2k + 4j
i.
ii.
%3D
Locate the three vectors on the R³ plane.
Solve for the following:
а) 4m- 5n
b) m.р
с) п. (тxр)
d) ||m + p||
e) Angle between m and n
f) Unit vector in the same direction as p
Transcribed Image Text:11 - 25. Let m, n, and p be vectors on R3. Suppose m = 2i – 3j + 4k, n = 3i + 2k – 3j, p = -5i – 2k + 4j i. ii. %3D Locate the three vectors on the R³ plane. Solve for the following: а) 4m- 5n b) m.р с) п. (тxр) d) ||m + p|| e) Angle between m and n f) Unit vector in the same direction as p
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