overrightarrow{A} and overrightarrow{B} are t | vedclass

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

Question

(A) The component (projection) of vector $\overrightarrow{A}$ on vector $\overrightarrow{B}$ is given by the formula: $	ext{Component} = \frac{\overr

Vedclass · Accepted Answer

$5 / \sqrt{2}$

Vedclass · Answer

(A) The component (projection) of vector $\overrightarrow{A}$ on vector $\overrightarrow{B}$ is given by the formula: $	ext{Component} = \frac{\overrightarrow{A} \cdot \overrightarrow{B}}{|\overrightarrow{B}|}$.First,calculate the dot product $\overrightarrow{A} \cdot \overrightarrow{B} = (2)(1) + (3)(1) = 2 + 3 = 5$.Next,calculate the magnitude of vector $\overrightarrow{B}$,which is $|\overrightarrow{B}| = \sqrt{1^2 + 1^2} = \sqrt{2}$.Finally,divide the dot product by the magnitude: $	ext{Component} = \frac{5}{\sqrt{2}}$.

$\overrightarrow{A}$ and $\overrightarrow{B}$ are two vectors given by $\overrightarrow{A} = 2\widehat{i} + 3\widehat{j}$ and $\overrightarrow{B} = \widehat{i} + \widehat{j}$. The magnitude of the component (projection) of $\overrightarrow{A}$ on $\overrightarrow{B}$ is

Similar Questions

Find the scalar and vector products of two vectors $\vec{a} = (3 \hat{i} - 4 \hat{j} + 5 \hat{k})$ and $\vec{b} = (-2 \hat{i} + \hat{j} - 3 \hat{k})$.

$A$ vector $\overrightarrow{F}_1$ is along the positive $X$-axis. If its vector product with another vector $\overrightarrow{F}_2$ is zero,then $\overrightarrow{F}_2$ could be:

Two unit vectors $\hat{a}_{1}$ and $\hat{a}_{2}$ are inclined to each other at an angle $\theta$. If $|\hat{a}_{1}-\hat{a}_{2}|=\sqrt{3}$,then the value of $(\hat{a}_{1}-\hat{a}_{2}) \cdot (2\hat{a}_{1}-\hat{a}_{2})$ is:

If $\vec{A} \times \vec{B} = \vec{B} \times \vec{C} = \vec{C} \times \vec{A}$,then $\vec{A} + \vec{B} + \vec{C}$ is equal to:

The angle between the two vectors $\vec A = 3\hat i + 4\hat j + 5\hat k$ and $\vec B = 3\hat i + 4\hat j - 5\hat k$ will be....... $^o$

Vedclass Test Series

Exam Paper Generator

Online Exam Module