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Question

A vector r is inclined at equal angles to the three axes. If the magnitude of r is 23 units, find r.

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Solution

Since r is inclined equal angles to axes
α=β=y
3cos2α=1
3cosα==±13
Now componenets in each direction are equal
Let r=a^i+a^j+a^k
|r|=a2+a2+a2=3a
3a=23a=2
r=2^i+2^j+2^k

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