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Question

Find the unit vector in the direction of the vector .

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Solution

The given vector is a = i ^ + j ^ +2 k ^ .

Magnitude of vector a is,

| a |= 1 2 + 1 2 + 2 2 = 6

The unit vector in direction of a is given as,

a ^ = a | a | = i ^ + j ^ +2 k ^ 6 = 1 6 i ^ + 1 6 j ^ + 2 6 k ^

Thus, unit vector in direction of a is 1 6 i ^ + 1 6 j ^ + 2 6 k ^ .


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