OnlineCBT
Physics · MOTION IN A PLANE
हिन्दीGiven below are statements regarding unit vectors: (A) A unit vector is a vector of unit magnitude and has no physical unit or dimension. (B) Unit vectors along x, y, and z axes of a rectangular coordinate system are represented by \( \hat{i} \), \( \hat{j} \), and \( \hat{k} \) respectively. (C) The magnitude of the vector sum \( \hat{i} + \hat{j} \) is equal to 2. (D) Multiplying a scalar quantity by a unit vector gives a vector quantity acting in that specific direction. Choose the correct answer from the options given below:
Correct answer · Option 1
(A), (B) and (D) only
Explanation
Statements (A), (B), and (D) are correct properties of unit vectors. Statement (C) is incorrect because \( |\hat{i} + \hat{j}| = \sqrt{1^2 + 1^2} = \sqrt{2} \neq 2 \).
