Question

A vector is given by R 2i + j+3k. Find (a) magnitudes of the x, y, and z components; (b) the ma nitude of R; and (c) the angles between R and the x, y, and z axes.

Answer 1

Answer:

given,

R = 2i + j+3k

a) magnitude in x = 2

                          y = 1

                          z = 3

b) magnitude of R

$R = \sqrt{2^2+1^2+3^2}$

R = 3.74 units

c) angle between the R and  the x, y, and z axes.

$cos \theta_x=\dfrac{2}{3.74}$

θ x = 57.72°

$cos \theta_y=\dfrac{1}{3.74}$

θ y = 74.51°

$cos \theta_z=\dfrac{3}{3.74}$

θ z = 36.68°