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1. The unit vectors of A are 5i + 6j + k, the magnitude of vector...

1. The unit vectors of A are 5i + 6j + k, the magnitude of vector B is 8.36, the angles they make with the x-axis, and z and z are 53.26, 69 and 44.13 respectively. Determine the unit vectors of B, the angles with the axes of A, the projection of both with the xy axis and the unit vector that makes the sum 2A + B.

2. Calculate, from vectors A, B, C and D, the following:
• The projection of vector A on vector B
• The area of the parallelogram that has the A and B vectors
• The magnitude of the resulting vector of the AXB product
• The CXD product and the direction of the resulting vector
• Calculate the angle between vectors C and D
• Calculate the magnitude (C · D) C
• Find CXD · D

A = -3i + 6j + 2k
B = -3i + 5j -8k
C = 3i + 5j
D = -4i -5j

STEP BY STEP PLEASE

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