1. Find the magnitude of vector V = 2i -5j. 2 Find the nes and direction an

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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VECTORS:
(6, 3,-1)
1. Find the magnitude of vector V = 2i - 5j.
2. Find the direction cosines and direction angles of the vector A 2i - 3j + 4k.
3. Find the dot product of the vectors A= 3i + 4j - k and B=i =2j +3k.
4. Find the angle between the vectors A= 3i + 4j - k and B = i = 2j + 3k.
5. Find the vector product( cross product) of the vectors A= 3i + 4j - k and B = i = 2j +3k.
6. Find the sum of the 2 vectors A = 3i - 5k and B = 2i + 4j - k.
7. A force vector F= 2i + 3j is applied to a particle and its moves the particle from (1, 2) to
(5,8). Find the work done by the force. Force in N and distance in m.
8. Find the area of a parallelogram with vertices at A(1, 2, 3), B(1, 3, 6), C( 3, 8, 6), and
D(3, 7, 3).
9. Find the volume of a parallelepiped determined by the vectors a= ( 6, 3, - 1),
b = (0, 1, 2), and c = (4, -2,5)
10. The vectors A = 2i - yj + 5k is parallel to vector B = 4i + 6j + 10k. Find y.
Transcribed Image Text:VECTORS: (6, 3,-1) 1. Find the magnitude of vector V = 2i - 5j. 2. Find the direction cosines and direction angles of the vector A 2i - 3j + 4k. 3. Find the dot product of the vectors A= 3i + 4j - k and B=i =2j +3k. 4. Find the angle between the vectors A= 3i + 4j - k and B = i = 2j + 3k. 5. Find the vector product( cross product) of the vectors A= 3i + 4j - k and B = i = 2j +3k. 6. Find the sum of the 2 vectors A = 3i - 5k and B = 2i + 4j - k. 7. A force vector F= 2i + 3j is applied to a particle and its moves the particle from (1, 2) to (5,8). Find the work done by the force. Force in N and distance in m. 8. Find the area of a parallelogram with vertices at A(1, 2, 3), B(1, 3, 6), C( 3, 8, 6), and D(3, 7, 3). 9. Find the volume of a parallelepiped determined by the vectors a= ( 6, 3, - 1), b = (0, 1, 2), and c = (4, -2,5) 10. The vectors A = 2i - yj + 5k is parallel to vector B = 4i + 6j + 10k. Find y.
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