Vectors Question 141

Question: A force $ \overrightarrow{F}=5\hat{i}+6\hat{j}+4\hat{k} $ acting on a body, produces a displacement $ \overrightarrow{S}=6\hat{i}-5\hat{k}. $ Work done by the force is

[KCET 1999]

Options:

A) 10 units

B) 18 units

C) 11 units

D) 5 units

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=\bar{F}.\bar{s}=(5\hat{i}+6\hat{j}+4\hat{k})(6\hat{i}-5\hat{k})=30-20=10 $ J