Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The expression \(\left(\frac{1}{\sqrt{2}}\hat{i} + \frac{1}{\sqrt{2}}\hat{j}\right)\) is a
Text Solution
Verified by ExpertsThe correct answer is:
A
\(\vec{P} = \frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j}\) ∴ ∴ \(\left|\vec{P}\right| = \sqrt{\left(\frac{1}{\sqrt{2}}\right)^2 + \left(\frac{1}{\sqrt{2}}\right)^2}\) = 1
∴ ∴ It is a unit vector.
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
The vector projection of a vector 3\hat{i} + 4\hat{k} on y -axis is
Position of a particle in a rectangular-co-ordinate system is (3,2,5) . Then its position vector wi…
If a particle moves from point \(\mathbf{P}(2,3,5)\) to point Q(3,4,5) . Its displacement vector be
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its verti…
If \(\mathbf{A} = 3\hat{i} + 4\hat{j}\) and \(\mathbf{B} = 7\hat{i} + 24\hat{j}\) , the vector havi…
Vector \vec{A} makes equal angles with x,y and z axis. Value of its components (in terms of magnitu…