The work done in moving a particle from the point A with position vector 2i- -6j- -7k- to the point B with position vector 3i- -j- -5k- by a force F- -i- -3j- -k- is

The correct option is D 28 Displacement vector, r⃗=(3î ĵ 5k̂) (2î 6ĵ+7k̂)=î+5ĵ 12k̂ Hence work done =F⃗·r⃗=(î+5ĵ 12k̂)· (î+3ĵ k̂)=1· 1+5·3 12( 1 ...

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Work

The work done...

Question

The work done in moving a particle from the point $A$ with position vector $2 \to i - 6 \to j + 7 \to k$ to the point $B$ with position vector $3 \to i - \to j - 5 \to k$ by a force $\to F = \to i + 3 \to j - \to k$ , is

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Similar questions

4 \to i - 3 \to j + \to k, 2 \to i - 4 \to j + 5 \to k, \to i - \to j

A, B

C

2 \to i - \to j + \to k, \to i - 3 \to j - 5 \to k

3 \to i - 4 \to j - 4 \to k

{cos}^{2} A

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

\to i - 3 \to j - 5 \to k

- 3 \to i + 4 \to j + 4 \to k

P, Q, R

{\to r}_{1} = 3 \to i - 2 \to j - \to k, {\to r}_{2} = \to i + 3 \to j + 4 \to k

{\to r}_{3} = 2 \to i + \to j - 2 \to k

O

P

O Q R

\to r = 3 \to i + 2 \to j - 5 \to k

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

\to b = \to i + 3 \to j - 2 \to k

\to c = - 2 \to i + \to j - 3 \to k

\to r = λ \to a + μ \to b + ν \to c

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