Question

What is the angle between the given vector and the positive direction of x axis

Answer 1

Answer:

THE answer is  :  cosθ = (a*1)(b*0) / (√a²+b²)

Step-by-step explanation:

Let the vector be A= ai + bj

here i = i cap, j = j cap

Vector of x-axis is   B = (1 i + 0 j)

Taking dot product

A.B = |A| |B| cosθ

cosθ = (A.B)/|A| |B|

cosθ = (a i + b j).(1 i + 0 j) / (√a²+b²)(√1²+0²)

cosθ = (a*1)(b*0) / (√a²+b²)

Hope u understood  !! :)