The magnitude of x & y components of vector( A) are 7 & 6 respectively. Also the magnitude of x &y components of vector(A+B) are 11 & 9 respectively. The magnitude of vector (B) is?

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The magnitude of the X and Y components of →A are 7 and 6. Also the magnitudes of the X andY components of →A+→B are 11 and 9 respectively. The magnitude of →B is:

The correct option is B 5Given →A=7^i+6^j and →A+→B=11^i+9^jTherefore, →A+→B−→A=11^i+9^j−7^i−6^j=4^i+3^j →B=4^i+3^j B=√42+32=5

The magnitude of the X and Y components of $\to A$ are 7 and 6. Also the magnitudes of the X andY components of $\to A + \to B$ are 11 and 9 respectively. The magnitude of $\to B$ is:

The correct option is B 5
Given $\to A = 7^i + 6^j$ and $\to A + \to B = 11^i + 9^j$
Therefore, $\to A + \to B - \to A = 11^i + 9^j - 7^i - 6^j = 4^i + 3^j$
$\to B = 4^i + 3^j$
$B = \sqrt{4^{2} + 3^{2}} = 5$