Question

The angle made by the vector Ā=2î +3j with x-axis and y-axis respectively are​

Answer 1

Answer:hope it helps u

Step-by-step explanation:

Answer 2

Given: The vector Ā=2î +3j.

To find: The angle made by the vector with the x-axis and y-axis.

Solution:

• To find the angles made by the vector with the x-axis and the y-axis, first, the coefficient of the j vector is divided by the coefficient of the i vector.

        $\frac{3}{2}$

• The tan inverse of the quotient gives the angle between the vector and the x-axis.

        $tan ^{-1} \frac{3}{2}$

• The complement of the angle between the vector and the x-axis gives the angle between the vector and the y-axis.

        $90 - tan ^{-1} \frac{3}{2} = tan ^{-1} \frac{2}{3}$

Therefore, the angle made by the vector with the x-axis and y-axis is tan⁻¹ (3/2) and tan⁻¹ (2/3), respectively.