Question

If a = 13 b=
5 and ā.b= 60, then find (a×b)​

Answer 1

Answer:

Well, I'm sorry we won't be able to find out the direction of axb but only it's magnitude.

Since,

cos^2 theta + sin^2 theta = 1

(a.b)^2/a^2b^2 + (axb)^2/a^2b^2 = 1

or,

(a.b)^2 + (axb)^2 = a^2b^2

So,

(60)^2 + (axb)^2 = (65)^2

or,

(axb)^2 = (25)^2

So,

axb = 25

Hope this helps you !