How do you find the magnitude of the resultant of the vectors A=12x-37y+52z and B=5x+30y-42z. where i, j, and k are unit vectors along the x, y and z axes respectively?

1 Answer
A. S. Adikesavan
Mar 4, 2016

The resultant is A + B = ( 12, -37, 52 )-( 5, 30, -42 = ( 17, -7, 10 )
Magnitude = sqrt438

Explanation:

If A = ( l1, m1, n1 ) and B = ( l2, m2, n2 ),
A + B = ( l1 +l2. m1 + m2, n1 + n2 )
Magnitude of ( x, y, z ) = sqrt(x^2+y^2+z^2)

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