Given the vectors u=<4, -5, 1>, v=<5,6, -3>, and w=<6, 2, -4>, determine thefollowing.1) u + v +w=<|2) 4u + 3v - 2w=<3) -2u. 5w =4) Answer the following steps to determinethe angle between vectors v and w.(a) Find the magnitudes of (round to twodecimal places)V =W =(b) Determine the dot product of v • W =0 =(c) Find the angle between v and w to the nearest

Answered: Given the vectors u =<4, -5, 1>, v=<5,…

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Given the vectors u =<4, -5, 1>, v=<5, 6,-3>, and w=<6, 2, -4>, determine the

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.3: Proving Lines Parallel

Problem 34E

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Question

Given the vectors u=<4, -5, 1>, v=<5,
6, -3>, and w=<6, 2, -4>, determine the
following.
1) u + v +w=<|
2) 4u + 3v - 2w=<
3) -2u. 5w =
4) Answer the following steps to determine
the angle between vectors v and w.
(a) Find the magnitudes of (round to two
decimal places)
V =
W =
(b) Determine the dot product of v • W =
0 =
(c) Find the angle between v and w to the nearest

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