Let $\overrightarrow C = \overrightarrow A + \overrightarrow B $ then
Let $\overrightarrow C = \overrightarrow A + \overrightarrow B $ then
- A
$|\overrightarrow {C|} $ is always greater then $|\overrightarrow A |$
- B
It is possible to have $|\overrightarrow C |\, < \,|\overrightarrow A |$ and $|\overrightarrow C |\, < \,|\overrightarrow B |$
- C
$C$ is always equal to $A + B$
- D
$C$ is never equal to $A + B$
Similar Questions
If $|\,\vec A + \vec B\,|\, = \,|\,\vec A\,| + |\,\vec B\,|$, then angle between $\vec A$ and $\vec B$ will be ....... $^o$
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- [AIPMT 2001]
Establish the following vector inequalities geometrically or otherwise:
$(a)$ $\quad| a + b | \leq| a |+| b |$
$(b)$ $\quad| a + b | \geq| a |-| b |$
$(c)$ $\quad| a - b | \leq| a |+| b |$
$(d)$ $\quad| a - b | \geq| a |-| b |$
When does the equality sign above apply?
Establish the following vector inequalities geometrically or otherwise:
$(a)$ $\quad| a + b | \leq| a |+| b |$
$(b)$ $\quad| a + b | \geq| a |-| b |$
$(c)$ $\quad| a - b | \leq| a |+| b |$
$(d)$ $\quad| a - b | \geq| a |-| b |$
When does the equality sign above apply?
The angle between vector $\vec{Q}$ and the resultant of $(2 \overrightarrow{\mathrm{Q}}+2 \overrightarrow{\mathrm{P}})$ and $(2 \overrightarrow{\mathrm{Q}}-2 \overrightarrow{\mathrm{P}})$ is:
The angle between vector $\vec{Q}$ and the resultant of $(2 \overrightarrow{\mathrm{Q}}+2 \overrightarrow{\mathrm{P}})$ and $(2 \overrightarrow{\mathrm{Q}}-2 \overrightarrow{\mathrm{P}})$ is:
- [JEE MAIN 2024]
A person moves $30\, m$ north and then $20\, m$ towards east and finally $30\sqrt 2 \,m$ in south-west direction. The displacement of the person from the origin will be
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$ABC$ is an equilateral triangle. Length of each side is $a$ and centroid is point $O$. Find If $|\overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{A C}|=n a$ then $n =$ ?
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