the resultant of the two vector having magnitude 5 and 4 is 1. what is magnitude of cross product.
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Let A = 5
and B = 4 .
Then , A+B = 1
we know | A+B | =under root (A^2 + B^2 + 2AB cos theta)
1= under root(5^2 + 4^2 + 2* 4 *5 cos theta )
1= under root (25+16+40costheta)
1=under root(41 + 40cos theta)
Squaring both the sides
1 = 41+ 40cos theta
-40= 40 cos theta
Cos theta= -1
Theta = 180degree
Now,
Cross product of A and B = AB sintheta
= AB sin 180
= AB * 0
= 0
so the answer is 0.
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