The magnitude of a given vector with end poin | vedclass

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

Question

(D) Let the initial point be $P(4, -4, 0)$ and the terminal point be $Q(-2, -2, 0)$.The vector $\vec{r}$ is given by $\vec{r} = \vec{Q} - \vec{P}$.$\v

Vedclass · Accepted Answer

$2\sqrt{10}$

Vedclass · Answer

(D) Let the initial point be $P(4, -4, 0)$ and the terminal point be $Q(-2, -2, 0)$.The vector $\vec{r}$ is given by $\vec{r} = \vec{Q} - \vec{P}$.$\vec{r} = (-2 - 4)\hat{i} + (-2 - (-4))\hat{j} + (0 - 0)\hat{k}$.$\vec{r} = -6\hat{i} + 2\hat{j} + 0\hat{k}$.The magnitude of the vector is $|\vec{r}| = \sqrt{(-6)^2 + (2)^2 + (0)^2}$.$|\vec{r}| = \sqrt{36 + 4} = \sqrt{40}$.$|\vec{r}| = \sqrt{4 	imes 10} = 2\sqrt{10}$.

The magnitude of a given vector with end points $(4, -4, 0)$ and $(-2, -2, 0)$ is:

Similar Questions

If $0.5 \hat{i} + 0.8 \hat{j} + c \hat{k}$ is a unit vector, then $c$ is

A body cools according to Newton's law of cooling from $100^\circ C$ to $60^\circ C$ in $20$ minutes. The temperature of the surroundings being $20^\circ C$, then the total time required for the body to cool down to $30^\circ C$ is

If a unit vector is represented as $\overrightarrow{u} = 0.4 \hat{i} + 0.7 \hat{j} + c \hat{k}$,then the value of '$c$' is

When $\vec A \cdot \vec B = - |A||B|$,then

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module