Question

the unit vector in the direction of vector A=2i _ 2j + k is

Answer 1

hope it proves to be useful.....
if any query I would be glad to know.....

Answer 2

Concept

A vector is a unit of measurement with both magnitude and direction. A unit vector is a vector with magnitude 1. Another name for it is a direction vector.

Given

The direction of the vector is A = 2i - 2j + k

Find

We need to find the unit vector

Solution

To find the unit vector we have to find magnitude first

Magnitude of Vector =

$\sqrt{(2)^{2} + {( - 2})^{2} + (1) ^{2} }$

= 3

Now the Unit vector is Direction of vector / Magnitude of Vector

=( 2i-2j+k)/3

Hence the unit vector is (2i-2j+k)/3

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