A vector in three-dimensional space has components

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A vector in three-dimensional space has components Px=4 NP_x = 4\,\text{N}, Py=−2 NP_y = -2\,\text{N} and Pz=5 NP_z = 5\,\text{N}. Calculate: (i) the magnitude of the vector, (ii) the direction cosines with respect to the xx, yy and zz axes, and (iii) the unit vector along this direction.

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