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Let a=hat(i)+hat(j)+hat(k), b=hat(i)-hat(j)+hat(k) and c=hat(i)-hat(j)-hat(k) be three vectors. A vector v in the plane of a and b whose projection on c is 1/sqrt(3), is given by |
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Answer» `3 hat(i)+hat(J)-3hat(K)` `rArr (v.c)/(sqrt(1+1+1)) = 1/(sqrt(3))` `rArr (v.c)/(sqrt(3)) = 1/(sqrt(3)) rArr v.c = 1` `rArr v.(hati-hatj -hatk) = 1 "….."(i)` we get from option (b) `v=3 hati-hatj+3hatk` ` v.c (3HATI -hatj+3hatk)` `=3+1-3=1` which satisfies Eq. 9i) `v=3hati-hatj+3hatk` |
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