Question

solve this problem if you can​

Answer 1

Answer:

angle with x axis=36.87 degrees

angle with y axis=53.13 degrees

Answer 2

Answer:

θ = tan⁻¹6/8 ; Φ = tan⁻¹8/6

Explanation:

Given the vector has rectangular components 8 and 6. it means that the components are perpendicular to each other so, they can be taken in the form of ai + bj were a = 8 ; b = 6

It is also given that the magnitude of the vector is 10

i.e √(8² + 6²) = √(64 + 36)

=> √100

=> 10.

Let the angle made by the vector with x axis be θ

then tanθ = y/x

Because by considering the vector in form of a right angled triangle, we get this. (Consider the image at bottom for more information)

so, tanθ = 6/8.

=> θ = tan⁻¹6/8

Let the angle made by the vector with y axis be Φ

then tanΦ = 8/6

=> Φ = tan⁻¹8/6