Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Two constant forces \(\mathbf{F}_1 = 2\hat{i} - 3\hat{j} + 3\hat{k}\) (N) and \(\mathbf{F}_2 = \hat{i} + \hat{j} - 2\hat{k}\) (N) act on a body and displace it from the position \(\mathbf{r}_1 = \hat{\mathbf{i}} + 2\hat{\mathbf{j}} - 2\hat{\mathbf{k}}\) (m) to the position \(\mathbf{r}_2 = 7\hat{i} + 10\hat{j} + 5\hat{k}\) (m). What is the work done?
Text Solution
Verified by ExpertsThe correct answer is:
A
\(\mathbf{W} = \mathbf{\bar{F}}(\mathbf{\bar{r}}_2 - \mathbf{\bar{r}}_1)\)
= (3\hat{i} - 2\hat{j} + \hat{k})(6\hat{i} + 8\hat{j} + 7\hat{k}) = 18 - 16 + 7 = 9
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If a vector \vec{p} making angles a , b , and g respectively with the X, Y and Z axes respect…
If the resultant of n forces of different magnitudes acting at a point is zero, then the minimum va…
Can the resultant of 2 vectors be zero
The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant …
A vector \vec{a} is turned without a change in its length through a small angle \(d\theta.\) The va…
Find the resultant of three vectors \overrightarrow{OA}, \overrightarrow{OB} and \vec{oc} shown in …