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If the vector $\mathbf{A}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}$ and the vector $\mathbf{B}=4 \hat{\mathbf{i}}-5 \hat{\mathbf{J}},$ what angle does $\mathbf{A}$ $+$ B form with the $x$ -axis?(A) $\theta=\tan ^{-1} \frac{3}{5}$(B) $\theta=\tan ^{-1} \frac{7}{5}$(C) $\theta=\sin ^{-1} \frac{3}{5}$(D) $\theta=\sin ^{-1} \frac{5}{7}$

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Chapter 2

Vectors

Introduction and Vectors

03:40

For each vector here, $\th…

04:50

Find the angle between the…

03:15

For each position vector g…

0:00

01:08

Determine the direction an…

02:23

What is the angle $\theta$…

02:15

01:18

Find a unit vector in the …

00:45

For the following exercise…

02:39

this problem we have given Vector is equal to I kept minus two. Jacob Vector B is equal to for a cab minus five jackets so we can find Vector A plus. Victor, we This will be called to ICAP plus four ICAP minus two. Jacob minus five. Jacobs, this is a quality of five by cab minus seven. Jacob Now we will draw this vector. This is suppose X axis and this is why access. So in the Y axis, it is negative seven. And in the X axis, it is five. So vector, will we? This vector is a vector. Plus rejected. We have to find this angle. So according to 10 data, 10 data is equal to perpendicular, which is equal to seven divided by five. So Tita will be called to 10 and verse seven by five. If we check our option option, we will be our correct option. Option V. Thank you

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