Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.

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Solution

If is a unit vector in the XY-plane, then

Here, θ is the angle made by the unit vector with the positive direction of the x-axis.

Therefore, for θ = 30°:

Hence, the required unit vector is.

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Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.

If is a unit vector in the XY-plane, then Here, θ is the angle made by the unit vector with the positive direction of the x-axis. Therefore, for θ = 30°: Hence, the required unit vector is.

If is a unit vector in the XY-plane, then

Here, θ is the angle made by the unit vector with the positive direction of the x-axis.

Therefore, for θ = 30°:

Hence, the required unit vector is.