State True or False for the following: Position vector of a point… - Vidyadip

Question

State True or False for the following:
Position vector of a point $\vec{\text{P}}$ is a vector whose initial point is origin.

✓

Answer

True.Solution:
Since, $\vec{\text{P}}=\overrightarrow{\text{OP}}$ displacement of vector $\vec{\text{P}}$ from origin.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "True False[1 Marks ]" from VECTOR ALGEBRA→VECTOR ALGEBRA — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

State True or False for the statements of the following Exercise:
Let $ \begin{vmatrix}\text{a}&\text{p}&\text{x}\\\text{b}&\text{q}&\text{y}\\\text{c}&\text{r}&\text{z}\end{vmatrix}=16,$ then $\Delta_1=\begin{vmatrix}\text{p}+\text{x}&\text{a}+\text{x}&\text{a}+\text{p}\\\text{q}+\text{y}&\text{b} +\text{y}&\text{b}+\text{q}\\\text{r}+\text{z}&\text{c}+ \text{z}&\text{c}+\text{r}\end{vmatrix}=32.$

State True or False for the following:
If $|\vec{\text{a}}|=|\vec{\text{b}}|,$ then necessarily it implies $\vec{\text{a}}=\pm\vec{\text{b}}.$

State True or False for the following:
Integrating factor of the differential of the form $\frac{\text{dy}}{\text{dx}}+\text{P}_1\text{x}=\text{Q}_1$ is given by $\text{e}^{\text{P}_1\text{dy}}.$

Which of the following statements are True or False.
Matrices of any order can be added.

State True or False for the statements:
If A and B are mutually exclusive events, then they will be independent also.

State True or False for the following:
The equation of a line, which is parallel to $2\hat{\text{i}}+\hat{\text{j}}+3\hat{\text{k}}$ and which passes through the point (5, -2, 4) is $\frac{\text{x}-5}{2}=\frac{\text{y}-5}{-1}=\frac{\text{z}-4}{3}.$

Answer the following as true or false.
Two collinear vectors are always equal in magnitude.

State True or False for the statements of the following Exercise:
The determinant $\begin{vmatrix}\sin\text{A}&\cos\text{A}&\sin\text{A}+\cos\text{B}\\\sin\text{B}&\cos\text{A}&\sin\text{B}+\cos\text{B}\\\sin\text{C}&\cos\text{A}&\sin\text{C}+\cos\text{B}\end{vmatrix}$ is equal to zero.

State True or False for the statements:
Rolle’s theorem is applicable for the function f(x) = |x - 1| in [0, 2].

State True or False for the statements:
Rolle’s theorem is applicable for the function f(x) = |x - 1| in [0, 2].