Find the magnitude of the vector a and the smallest positive angle 𝜃 from the positive x-axis to the vector OP that corresponds to a

Question

Find the magnitude of the vector a and the smallest positive angle 𝜃 from the positive x-axis to the vector OP that corresponds to a

a = −5i + 7j

||a|| =

𝜃 =

Answer 1

|| a || = √[(7²) + (-5)²]

tan θ = -7 / 5