If A -5 -10 - and B -2 -6 - the magnitude and direction of A - B isA- 5-53-B- 5-53- 4-37-D- 4-37-

The correct option is B 5, 53^∘A = 5 î 10 ĵ B = 2 î + 6 ĵ nbsp; A + B =(5 2) î+( 10+6)ĵ =3 î 4ĵ nbsp; |A + B| = √(3^2 +( 4)^2) = 5 θ = tan^ 1 43≈ 53^∘ He ...

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Byju's Answer

Standard XII

Physics

Comparing Vectors

If A =5 î-10 ...

Question

If $\to A = 5^i - 10^j$ and $\to B = - 2^i + 6^j$ , the magnitude and direction of $\to A + \to B$ is

5, 53^{\circ}

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5, - 53^{\circ}

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4, 37^{\circ}

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4, - 37^{\circ}

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Solution

The correct option is B $5, - 53^{\circ}$
$\to A = 5^i - 10^j$
$\to B = - 2^i + 6^j$
$\to A + \to B = (5 - 2)^i + (- 10 + 6)^j = 3^i - 4^j$ $| \to A + \to B | = \sqrt{3^{2} + (- 4)^{2}} = 5 θ = {tan}^{- 1} \frac{- 4}{3} \approx - 53^{\circ}$
Hence the correct option is (b).

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If →A=5^i−10^j and →B=−2^i+6^j, the magnitude and direction of →A+→B is

The correct option is B 5,−53∘→A=5^i−10^j →B=−2^i+6^j →A+→B=(5−2)^i+(−10+6)^j=3^i−4^j |→A+→B|=√32+(−4)2=5θ=tan−1−43≈−53∘ Hence the correct option is (b).

If $\to A = 5^i - 10^j$ and $\to B = - 2^i + 6^j$ , the magnitude and direction of $\to A + \to B$ is

The correct option is B $5, - 53^{\circ}$
$\to A = 5^i - 10^j$
$\to B = - 2^i + 6^j$
$\to A + \to B = (5 - 2)^i + (- 10 + 6)^j = 3^i - 4^j$ $| \to A + \to B | = \sqrt{3^{2} + (- 4)^{2}} = 5 θ = {tan}^{- 1} \frac{- 4}{3} \approx - 53^{\circ}$
Hence the correct option is (b).