InterviewSolution
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InterviewSolution
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A unit vector in the dirction of resultant vector of `vec(A)= -2hat(i)+3hat(j)+hat(k)` and `vec(B)= hat(i)+2hat(j)-4hat(k)` isA. `(-2hat(i)+3hat(j)+hat(k))/(sqrt(35))`B. `(-hat(i)+2hat(j)+4hat(k))/(sqrt(35))`C. `(-hat(i)+5hat(j)-3hat(k))/(sqrt(35))`D. `(-3hat(i)+hat(j)-5hat(k))/(sqrt(35))` |
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Answer» Correct Answer - C Here, `vec(A)= -2hat(i)+3hat(j)+hat(k)` `vec(B)= hat(i)+2hat(j)-4hat(k)` The resultant vector of `vec(A)` and `vec(B)` is `vec(R )= vec(A)+vec(B)= (2hat(i)+3hat(j)+hat(k))+(hat(i)+2hat(j)-4hat(k))` `= -hat(i)+5hat(j)-3hat(k)` `|vec(R )= sqrt((-1)^(2)+(5)^(2)+(-3)^(2))= sqrt(1+25+9)= sqrt(35)` Unit vector in the direction of resultant vector of `vec(A)` and `vec(B)` is `hat(R )= (vec(R ))/(|R|)= (-hat(i)+5hat(j)-3hat(k))/(sqrt(35))` |
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