JEE Main & Advanced
Mathematics
Vector Algebra
Question Bank
Critical Thinking
question_answer
Three forces of magnitudes 1, 2, 3 dynes meet in a point and act along diagonals of three adjacent faces of a cube. The resultant force is [MNR 1987]
A)114 dyne
B)6 dyne
C)5 dyne
D)None of these
Correct Answer:
C
Solution :
Three vectors meeting at a point are \[\mathbf{i}+\mathbf{j},\,\mathbf{j}+\mathbf{k},\,\mathbf{k}+\mathbf{i}\]. Forces of 1, 2, 3 dynes are acting along these directions respectively, therefore resultant force