(a) Explain, with the aid of the right-hand rule, how the direction of the vector…

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

(a) Explain, with the aid of the right-hand rule, how the direction of the vector product of two non-parallel vectors is decided. (b) Two equal forces F⃗1\vec F_1 and F⃗2\vec F_2 act at the origin such that their lines of action lie in the xyxy–plane and enclose an angle of 60∘60^{\circ}. If the first force is directed from the positive xx-axis toward the positive yy-axis and the second is directed from the positive yy-axis toward the negative xx-axis, predict whether the torque produced by F⃗1×F⃗2\vec F_1\times\vec F_2 is along the positive or negative zz-axis. Give reasons for your answer.

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