Question

If Ā=2î +3j - Â is a vector which makes an angle e with y axis then e is​

Answer 1

Answer:

33.7 degrees

Explanation:

Okay, so we know that A = 2i + 3j.

If we wish to find the angle between A and the y-axis, we can use any vector that only has a y-component. It is easiest to use the unit vector in the y-direction which is denoted by y= 1j.

To calculate the angle between the two vectors, we only need to manipulate the dot product equation. We know that a•b=|a||b|cos(θ) where θ is the angle between the two vectors. We can rearrange and get arccos[(a•b)/(|a||b|)] = θ.

After plugging in the values and computing both the dot product and magnitudes, we find that θ is roughly equal to 33.7 degrees.