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Column-I gives operation of vectors `vecA and vecB` and column- II gives the angle `(theta)` between `vecA` and `vecB` (`vecA` and `vecB` are not zero vectors ). |
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Answer» Correct Answer - `a to r,s; b to p; c to q; d to p` `|vecA xx vecB| = vecA.vecB` `AB sin theta = AB cos theta ` `tan theta = 1 rArr theta = pi // 4 or 3pi//4` (b) `vecA xx vecB = vecB xx vecA ` only if `theta = 0^(@)` (c) `|vecA + vecB|= |vecA - vecB|` `sqrt(A^(2) +B^(2) + 2AB cos theta )= sqrt(A^(2) + B^(2) - 2AB cos theta)` `" "4 AB cos theta =0` `" "theta = pi//2` (d) `vecA + vecB = vecC` with A+B= C if `theta = 0^(@)`. |
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