Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If 
& 
are two vectors, then the value of | 
+ 
| × | 
– 
| is – | 
× 
|.
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Define the vectors \vec{A}\ and \vec{B}\ as shown in the images. Assume \vec{A} = |\vec{A}|\hat{i} and \vec{B} = |\vec{B}|\hat{j}.
Step 2: Calculate the resultant vector: \vec{R} = \vec{A} + \vec{B}.
This results in \vec{R} = |\vec{A}|\hat{i} + |\vec{B}|\hat{j}.
Step 3: Calculate the magnitude of the resultant vector: |\vec{R}| = \sqrt{|\vec{A}|^2 + |\vec{B}|^2}.
Step 4: Based on the calculations, it can be established that the value of | + | is indeed |\vec{A}| |\vec{B}|.
Step 2: Calculate the resultant vector: \vec{R} = \vec{A} + \vec{B}.
This results in \vec{R} = |\vec{A}|\hat{i} + |\vec{B}|\hat{j}.
Step 3: Calculate the magnitude of the resultant vector: |\vec{R}| = \sqrt{|\vec{A}|^2 + |\vec{B}|^2}.
Step 4: Based on the calculations, it can be established that the value of |
+ | is indeed |\vec{A}| |\vec{B}|.
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 …