Question

) Obtain the magnitude and direction cosines of vectors(A+B) and (A-B),if A=3i+2j+k and B=i-2j+3k

Answer 1

A+B= 4i-0j+4k
A-B= 2i+4j-2k

magnitude of A+B= |A+B|= √(4^2+0+4^2)= 4√2
|A-B|= √(2^2+4^2+2^2)= 2√6

Dir cosine of A+B= A+B/|A+B| = (i+k)/√2
Dir cosine of A-B= A-B/(|A-B|)= (i+2j-k)/√6

Answer 2

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