A unit vector of modulus 2 is equally in...

A unit vector of modulus 2 is equally inclined to x- and y-axes at an angle `pi//3`. Find the length of projection of the vector on the z-axis.

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A vector vecA of magnitude 2 units is inclined at angles 30^@ and 60^@ with positive x-and y-axes, respectively. Another vector of magnitude 5 units is aligned along the positive x-axis . Then vecA*vecB is

`5sqrt(3)`

`3sqrt(5)`

`2sqrt(3)`

`3sqrt(2)`

If veca is unit vector in xy-plane making an angle (pi)/(4) with the x-axis, then veca is equal to -

`hati+hatj`

`hati-hatj`

`(1)/(sqrt(2)) (hati+hatj)`

`(1)/(sqrt(2))(hati-hatj)`

A unit vector of modulus 2 is equally inclined to x- and y-axes at an angle `pi//3`. Find the length of projection of the vector on the z-axis.

Answer

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A vector vecA of magnitude 2 units is inclined at angles 30^@ and 60^@ with positive x-and y-axes, respectively. Another vector of magnitude 5 units is aligned along the positive x-axis . Then vecA*vecB is

If veca is unit vector in xy-plane making an angle (pi)/(4) with the x-axis, then veca is equal to -

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