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If a=(2, 1, -1), b=(1, -1, 0), c=(5, -1, 1), then unit vector parallel to a + b - c but in opposite direction is |
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Answer» `(1)/(3)(2hati-hatj+2hatk)` Then, `a+b-c=(2+1-5)hati+(1-1+1)hati+(-1+0-1)hatk` `=-(2hati-hatj+2hatk)` `because` Unit VECTOR of `(a+b-c)=-((2hati-hatj+2hatk))/(3)` `therefore` Required unit vector of `(a+b-c)=((2hati-hatj+2hatk))/(3)` |
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