Given the vectors;A = i + 2j + 3kB = 4i + 5j + 6kC = 3i+2j + kĎ= 6i + 5j + 4k1. Find:A + B + C + DA + B - C - DA - B + C-D(A + B) x (C + D)2. The magnitude of vectors A, B, C, D3. The angles and basis vectors between A, B, C, D4. Angles of A with B, C, D5. Projection of A onto directions of B,C,D6. Product of AXB, B×C and C × D and its angles with D

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Given the vectors; Ả = i + 2j + 3k B = 4i + 5j + 6k C = 3i+2j + k D = 6i + 5j + 4k 1. Find: A + B + C + D A + B - C - D A - B + C-D (A + B) × (C + D) 2. The magnitude of vectors A, B, C, D 3. The angles and basis vectors between A, B, C, D

Given the vectors; Ả = i + 2j + 3k B = 4i + 5j + 6k C = 3i+2j + k D = 6i + 5j + 4k 1. Find: A + B + C + D A + B - C - D A - B + C-D (A + B) × (C + D) 2. The magnitude of vectors A, B, C, D 3. The angles and basis vectors between A, B, C, D

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

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Question

Given the vectors;
A = i + 2j + 3k
B = 4i + 5j + 6k
C = 3i+2j + k
Ď= 6i + 5j + 4k
1. Find:
A + B + C + D
A + B - C - D
A - B + C-D
(A + B) x (C + D)
2. The magnitude of vectors A, B, C, D
3. The angles and basis vectors between A, B, C, D
4. Angles of A with B, C, D
5. Projection of A onto directions of B,C,D
6. Product of AXB, B×C and C × D and its angles with D

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