Question

A= i +j what is the angle between the vector and x - axis is

Answer 1

Answer:

${45}^{0}$

Step-by-step explanation:

$Given \: it \: \\ A = i + j \\ x \: axis = i \\ As \: we \: know \: that \: angle \: between \: \\ two \: vectors \: cos \alpha = \frac{a.b}{ |a| |b| } \\ Let \: the \: angle \: = \alpha \\ \: \: \: \: \: \: \: \: \: \: \: \: \: cos \alpha = \frac{(i + j).i}{ |i + j| |i| } \\ \: \: \: \: \: \: \: \: \: \: \: \: cos \alpha = \frac{1}{ \sqrt{1 + 1} } \\ \: \: \: \: \: \: \: \: \: \: \: \ \: cos \alpha = \frac{1}{ \sqrt{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \alpha = {45}^{0} \\ \\ \\ hope \: it \: will \: help \: you.$