Give $\vec{P} = 2 \hat{i} - 3 \hat{j} + 4 \hat {k}$ and $\vec{Q} = \hat{j} - 2 \hat {k} $ The magnitude of their resultant is.
- $\sqrt {3} $
- $2\sqrt {3} $
- $3 \sqrt {3}$
- $4\sqrt{3} $
The Correct Option is B
Solution and Explanation
$ = |2 i-2 \hat{j}+2 \hat{k}|$
$=\sqrt{2^{2}+2^{2}+2^{2}}=2 \sqrt{3}$
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Concepts Used:
Vector Basics
What is a Vector Quantity?
Vector Quantity is a physical quantity that is specified not only by its magnitude but also by its direction. A vector quantity whose magnitude is equal to one and has direction is called a unit vector.
Examples of vector quantity are-
- Displacement
- Linear momentum
- Momentum
- Acceleration
- Force
- Electric field
- Angular velocity
- Polarization