Q10 of 45 Page 1

Find a vector vector a of magnitude 5√2, making an angle of pi /4 with x-axis., pi /2 with y-axis and an acute angle θ with z-axis.

As we Know in 3D geometry a vector is given as:

…(1)


⇒Where l, m, n are directional cosines,


Now






Now using the property of Direction cosines,


i.e







Put (2) and other given values in equation (1),




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