Question

+
8. If Ā= 2q +3j and B=5i + 7j, then the vec
having the magnitude of À and direction of
would be

Answer 1

Answer:

Vector A = 2i + 3j

Vector B = 5i + 7j

Magnitude of A = $\sqrt{2^{2} + 3^{2}}$ = $\sqrt{13}$

Unit vector of B = 5i + 7j/$\sqrt{5^{2} + 7^{2} }$

= 5i + 7j/$\sqrt{74}$

So, a vector having magnitude of A and direction of B = $\sqrt{\frac{13}{74} }$(5i + 7j)

Hope it helps..!! ^_^