Question

Find the magnitude and direction of the vectors i + j.

Answer 1

Magnitude of vectors \(\vec i+\vec j\) 

= |\(\hat i +\hat j \)|

= \(\sqrt{1^2+1^2}=\sqrt2\)

tan θ =\(\frac{|\hat j|}{|\hat i|}=\frac{1}{1}\)= 1

or θ =\(tan^1\, 1\)= 45º with X-axis

Answer 2

 Magnitude of vectors \(\vec i+\vec j\)

= | \(\hat i +\hat j\)|

= \(\sqrt{1^2+1^2}=\sqrt2\)

tan θ = \(\frac{|\hat j|}{|\hat i|}=\frac{1}{1}\) = 1

or θ = \(tan^1\, 1\) = 45º with X-axis