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A vector r of magnitude 3sqrt2 units which makes an angle of (pi)/(4) and (pi)/(2) with y and z-axis, respectively is |
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Answer» `r= pm3hati+3hatj` Therefore, `l^(2)+m^(2)+n^(2)=1` [GIVEN] `l^(2)+1/2 +0=1` `IMPLIES l= pm 1/sqrt(2)` Hence, the required VECTOR `r=3sqrt(2) (l HAT(i)+m hat(j)+n hat(k))` is given by `r=3sqrt(2) (pm 1/sqrt(2) hat(i) +1/sqrt(2) hat(j) + 0hat(k))=r= pm 3 hat(i)+3hat(j)` |
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