InterviewSolution
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Let a=2hat(i)-hat(j)+hat(k), b=hat(i)+2hat(j)-hat(k) and c=hat(i)+hat(j)-2hat(k) be three vectors, A vector in the plane of b and c whose projection on a is of magnitude sqrt(2/3), is |
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Answer» `2hat(i)+3hat(j)-3hat(k)` `r=mb+c(m+1)HATI+(2m+1)hati+(-m-2)hatk` PROJECTION of r on a `=(r*a)/(|a|)=|sqrt(2/3)|` `:.""(2(m+1)-(2m+1)+(-m-2))/(sqrt6)=+-sqrt(2/3)` `rArr""-m-2+-2rArrm=-3"and"1` Hence, `r=-2hati-5hatj+hatk" and "r=2hati+3hatj-3hatk` |
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