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Vector Addition

When a force ...

Question

When a force vector $¯ ¯¯ ¯ F = (\to i + 2 \to j + \to k) N$ acts on a body and produces a displacement of $¯ ¯ ¯ S = (4 \to i + \to j + 7 \to k) m$ , then the work done is :

9 J

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13 J

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5 J

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1 J

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Solution

The correct option is C 13 J
Work $= \to F . \to S$
$= (^i + 2^j +^k) \cdot (4^i +^j +^7^k)$
$= 4 + 2 + 7$
$= 13 J$

Suggest Corrections

Similar questions

6

\to i - 2 \to j + 2 \to k

\to i - \to j

\to j - \to k

\to i + \to j + 2 \to k

\to i + 2 \to j + \to k

\to i + \to j + \to k

A

\to F = 2^i + 4^j +^k

\to S = 3^i + 2^j + 5^k

\to F = \to i + \to j + \to k

A (3, 3, 3)

B (4, 4, 4)

\to F = (5^i + 4^j) N

\to S = (6^i - 5^j + 3^k) m

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