Unit vector along the three mutually perpendicular axes x, y and z are denoted by:
Correct answer: B. Option B
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
For three mutually perpendicular planes (often representing the Cartesian coordinate system's x, y, and z planes), the unit vectors associated with each are usually denoted as:1. i-hat (î): The unit vector along the x-axis in a Cartesian coordinate system.2. j-hat (ĵ): The unit vector along the y-axis.3. k-hat (k̂): The unit vector along the z-axis.These unit vectors have a magnitude of 1 and point specifically along each axis, aiding in defining directions in three-dimensional space.
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About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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