Unit vector parallel to the resultant of vectors A- - 4-3- and B- - 8-8- will be

Name: CENGA - Grade 11 - Physics - Vectors - Q133
Uploaded: 2022-07-04T10:36:42+05:30
Description: Resultant of vectors A⃗ and B⃗ nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

Resultant of vectors A⃗ and B⃗ nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

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Standard X

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Unit vector p...

Question

Unit vector parallel to the resultant of vectors $\to A = 4^i - 3^j$ and $\to B = 8^i + 8^j$ will be

\frac{6^i + 5^j}{13}

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None of these

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\frac{12^i + 5^j}{13}

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\frac{24^i + 5^j}{13}

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Solution

The correct option is C $\frac{12^i + 5^j}{13}$
Resultant of vectors $\to A$ and $\to B$
$\to R = \to A + \to B$
$= 4^i - 3^j + 8^i + 8^j$
$= 12^i + 5^j$
$^R = \frac{\to R}{| R |}$
$= \frac{12^i + 5^j}{\sqrt{(12)^{2} + (5)^{2}}}$
$= \frac{12^i + 5^j}{13}$
Final Answer: (B)

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Unit vector parallel to the resultant of vectors $\to A = 4^i - 3^j$ and $\to B = 8^i + 8^j$

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The unit vector parallel to the resultant of the vectors
$\to A = 4^i + 3^j + 6^k$ and
$\to B = -^i + 3^j - 8^k$ is

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Causes for Second Anglo-Sikh War

Standard X History

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Unit vector parallel to the resultant of vectors →A = 4^i−3^j and →B = 8^i+8^j will be

The correct option is C 12^i+5^j13Resultant of vectors →A and →B →R = →A+→B = 4^i−3^j+8^i+8^j = 12^i+5^j ^R = →R|R| = 12^i+5^j√(12)2+(5)2 = 12^i+5^j13 Final Answer: (B)

Unit vector parallel to the resultant of vectors $\to A = 4^i - 3^j$ and $\to B = 8^i + 8^j$ will be

The correct option is C $\frac{12^i + 5^j}{13}$
Resultant of vectors $\to A$ and $\to B$
$\to R = \to A + \to B$
$= 4^i - 3^j + 8^i + 8^j$
$= 12^i + 5^j$
$^R = \frac{\to R}{| R |}$
$= \frac{12^i + 5^j}{\sqrt{(12)^{2} + (5)^{2}}}$
$= \frac{12^i + 5^j}{13}$
Final Answer: (B)