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Question

A vector r is inclined at equal acute angles to x-axis, y-axis and z-aixs. If |r|=6 units find r .

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Solution

|r|=6 unit
Let the vector be r=x^i+y^j+z^k
Subtends equal angles with x,y and z axes.
xx2+y2+z2=yy2+x2+z2=yx2+y2+z2
x=y=z
But we know |r|=6
x2+y2+z2=6
x2+x2+x2=36
3x2=36
x2=12
x=23
r=23(^i+^j+^k)

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