For any two vectors vec{a} and vec{b},which o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to the triangle inequality for vectors,for any two vectors $\vec{a}$ and $\vec{b}$,the magnitude of their sum is always less than or equ

Vedclass · Accepted Answer

None of the above

Vedclass · Answer

(D) According to the triangle inequality for vectors,for any two vectors $\vec{a}$ and $\vec{b}$,the magnitude of their sum is always less than or equal to the sum of their magnitudes: $|\vec{a} + \vec{b}| \leq |\vec{a}| + |\vec{b}|$. Similarly,for the difference of vectors,the magnitude is greater than or equal to the difference of their magnitudes: $|\vec{a} - \vec{b}| \geq ||\vec{a}| - |\vec{b}||$. None of the given options $A$,$B$,or $C$ represent a universally true statement for any two arbitrary vectors. Therefore,the correct option is $D$.

For any two vectors $\vec{a}$ and $\vec{b}$,which of the following statements is true?

Similar Questions

The vector which is parallel to the resultant vector of $\vec{a} = 2\hat{i} + 3\hat{j} - \hat{k}$ and $\vec{b} = \hat{i} - 2\hat{j} - \hat{k}$ and having a magnitude of $5$ units is . . . . . . .

The vectors $\overrightarrow{AB} = 3 \hat{i} + 4 \hat{k}$ and $\overrightarrow{AC} = 5 \hat{i} - 2 \hat{j} + 4 \hat{k}$ are the sides of a triangle $ABC$. The length of the median through $A$ is

If $\hat{i}$ is the position vector of the centroid $G$ of triangle $ABC$ and $2\hat{i}+\hat{j}+\hat{k}$ and $2\hat{i}+4\hat{j}-4\hat{k}$ are respectively the position vectors of its vertices $A$ and $B$,then $AG^2+BG^2+CG^2=$

If $ABCDEF$ is a regular hexagon and $\overrightarrow{AB} + \overrightarrow{AC} + \overrightarrow{AD} + \overrightarrow{AE} + \overrightarrow{AF} = \lambda \overrightarrow{AD}$,then $\lambda = $

Answer the following as true or false.
Two collinear vectors having the same magnitude are equal.

Vedclass Test Series

Exam Paper Generator

Online Exam Module