Question

vector b has x,y, and z components of 4.0, 6.0, and 3.0 units, respectively. Calculate the magnitude of b and the angles that b makes with the coordinate axes.

Answer 1

The magnitude of the vector is
M = sqrt(a^2 + b^2 + c^2)= 7.81

The cosine with the X axis is a/M = 4.0/7.81 = 0.51216
The angle is 59.2 degrees.
The cosine with the Y axis is b/M
The cosine with the Z axis is c/M

Answer 2

Vector B~ has x, y, and z components of 5.5,
6.2, and 1.8 units, respectively.
Calculate the magnitude of B~ .

Answer 3

Vector B~ has x, y, and z components of 1.4,
8.8, and 1.9 units, respectively.
Calculate the magnitude of B~