Classify the two given samples as independent or dependent the weight of cat

Vector u has initial points at (21,12) and it’s terminal point at (19,-8). Vector v has a direction opposite that of u. Who’s ma

8_murik_8 [283]

The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is $\vec v = 10\,\hat{i} + 100\,\hat{j}$ .

<h3>What is the value of a vector with respect to another vector?</h3>

First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:

$\vec u = (19\,\hat{i} - 8\,\hat{j}) - (21\,\hat{i} + 12\,\hat{j})$

$\vec u = - 2\,\hat{i} - 20\,\hat{j}$ (1)

According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:

$\vec v = - 1 \,\cdot \, 5\cdot \vec u$ (2)

Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.

$\vec v = 10\,\hat{i} + 100\,\hat{j}$

The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is $\vec v = 10\,\hat{i} + 100\,\hat{j}$ .

<h3>Remark</h3>

The statement presents typing mistakes, correct form is shown below:

<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>

To learn more on vectors: brainly.com/question/13322477

#SPJ1

8 0

2 years ago

A car travels at the rate of 350km in 5 hours.

leva [86]

Answer:

a.) 70 km per hour

b.) 245 km

Step-by-step explanation:

a.) Find how far the car can travel per hour by dividing:

$\frac{350}{5}= 70$