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A vector of magnitude sqrt2 coplanar with hati+hatj+2hati and hati+2hatj+hatk and perpendicular to hati+hatj+hatk is |
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Answer» `-hatj+hatk` `hat(i)+hat(j)+2hat(k)+lambda(hat(i)+2hat(j)+hat(k))=(1+lambda)hat(i)+(1+2 lambda)hat(j)+(2+lambda)hat(k)` it is perpendicular to `hat(i)+hat(j)+hat(k)` `:. 1+lambda+1+2 lambda+2+lambda =0""[ :' a.b=0]` `implies lambda=-1` `:.` Required vector is `-hat(j)-hat(k)`. |
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