The magnitude of a component of A-3 -4 - in the direction of B- - - is-

The correct option is C 7/√(2) cosθ #160; = 7 5√( 2 ) #160; & | A⃗ #160;| =√( 3 ^ 2 + 4 ^ 2 ) =5 Required component =| A⃗ #160;| ...

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Differentiation of Inverse Trigonometric Functions

The magnitude...

Question

The magnitude of a component of $\to A = 3^i + 4^j$ in the direction of $\to B =^i +^j$ is:

3

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\frac{7}{5}

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\frac{7}{\sqrt{2}}

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7

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Solution

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\to a = 3^i + 4^j

^i +^j

^i -^j

\to b = 3^i + 4^j

\to a =^i -^j

\to b

\to a

\to a = 3^i - 2^j +^k,

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

\to a =^i -^j + 2^k, \to b = 2^i + 3^j +^k, \to c =^i -^k

\to a + 2 \to b - 3 \to c

\sqrt{78}

\to A = 3^i - 4^j

\to B = 2^i + 16^j

\to A + \to B

\to A

\to B

\to A = 2^i + 3^j

\to B =^i +^j

\to A

\to B

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