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A unit vector perpendicular to each of the vectors 2hat(i)-hat(j)+hat(k)and 3hat(i)-4hat(j)-hat(k) is |
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Answer» `(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(J)-(1)/(sqrt(3))hat(K)` `=hat(i)(1+4)-hat(j)(-2-3)+hat(k)(-8+3)` `=5hat(i)+5hat(j)-5hat(k)` Unit vector `=(5)/(5sqrt(3))hat(i)+(5)/(5sqrt(3))hat(j)-(5)/(5sqrt(3))hat(k)` `=(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(j)-(1)/(3sqrt(3))hat(k)` |
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