Define scalar and vector physical quantities with their examples.
(N/A) Scalar physical quantity: $A$ physical quantity that requires only magnitude to be fully described is called a scalar physical quantity.
Examples: $Mass$, $distance$, $time$, $density$, $temperature$, $power$, etc.
Vector physical quantity: $A$ physical quantity that requires both magnitude and direction to be fully described is called a vector physical quantity.
Examples: $Displacement$, $velocity$, $acceleration$, $force$, etc.
Examples: $Mass$, $distance$, $time$, $density$, $temperature$, $power$, etc.
Vector physical quantity: $A$ physical quantity that requires both magnitude and direction to be fully described is called a vector physical quantity.
Examples: $Displacement$, $velocity$, $acceleration$, $force$, etc.
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Similar Questions
Establish the following vector inequalities geometrically or otherwise:
$(a) \quad |\vec{a} + \vec{b}| \leq |\vec{a}| + |\vec{b}|$
$(b) \quad |\vec{a} + \vec{b}| \geq ||\vec{a}| - |\vec{b}||$
$(c) \quad |\vec{a} - \vec{b}| \leq |\vec{a}| + |\vec{b}|$
$(d) \quad |\vec{a} - \vec{b}| \geq ||\vec{a}| - |\vec{b}||$
When does the equality sign apply in each case?
$(a) \quad |\vec{a} + \vec{b}| \leq |\vec{a}| + |\vec{b}|$
$(b) \quad |\vec{a} + \vec{b}| \geq ||\vec{a}| - |\vec{b}||$
$(c) \quad |\vec{a} - \vec{b}| \leq |\vec{a}| + |\vec{b}|$
$(d) \quad |\vec{a} - \vec{b}| \geq ||\vec{a}| - |\vec{b}||$
When does the equality sign apply in each case?
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View SolutionCan the resultant of three vectors of unequal magnitudes be a zero vector?
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View SolutionAt what angle should the two forces $2P$ and $\sqrt{2}P$ act so that the resultant force is $P\sqrt{10}$ (in $^{\circ}$)?
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View Solution$A$ mosquito is moving with a velocity $\overrightarrow{v} = 0.5t^2 \hat{i} + 3t \hat{j} + 9 \hat{k} \, m/s$. What will be the direction of the mosquito after $t = 2 \, s$?
DifficultJEE MAIN 2021
View SolutionFor the components of a vector $\vec{A} = (3 \hat{i} + 4 \hat{j} - 5 \hat{k})$,match the following columns.
Column $I$ Column $II$ $(A)$ Component along $x$-axis $(p)$ $5 \text{ unit}$ $(B)$ Component along vector $(2 \hat{i} + \hat{j} + 2 \hat{k})$ $(q)$ $4 \text{ unit}$ $(C)$ Component along $(6 \hat{i} + 8 \hat{j} - 10 \hat{k})$ $(r)$ $0$ $(D)$ Component along $(-3 \hat{i} - 4 \hat{j} + 5 \hat{k})$ $(s)$ None
| Column $I$ | Column $II$ |
|---|---|
| $(A)$ Component along $x$-axis | $(p)$ $5 \text{ unit}$ |
| $(B)$ Component along vector $(2 \hat{i} + \hat{j} + 2 \hat{k})$ | $(q)$ $4 \text{ unit}$ |
| $(C)$ Component along $(6 \hat{i} + 8 \hat{j} - 10 \hat{k})$ | $(r)$ $0$ |
| $(D)$ Component along $(-3 \hat{i} - 4 \hat{j} + 5 \hat{k})$ | $(s)$ None |
Medium
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