$[\hat{i}\;\hat{j}\;\hat{k}] = \hat{i} \cdot (\hat{j} \times \hat{k}) = \hat{i} \cdot \hat{i} = 1$
Back to JEE Main 2023 Vectors & 3D Geometry
JEE Main 2023 — Mathematics Vectors & 3D Geometry
easy
mcq
2023
Official previous-year question
Verified 30 May 2026.
Question
The scalar triple product $[\hat{i}\;\hat{j}\;\hat{k}]$ is:
Options
- A
$1$
- B
$0$
- C
$-1$
- D
$3$
Solution
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
JEE Main Vectors & 3D Geometry in other years
More JEE Main Vectors & 3D Geometry Questions
The volume of the parallelepiped formed by vectors a=i+2j-k, b=2i-j+3k, c=3i+j+2k is:
2026
hard
mcq
The position vectors of points A and B are 2i+3j+k and 4i+j-2k. The position vector of the midpoint of AB is:
2025
easy
mcq
The image of the point (1,2,3) in the plane x+y+z=9 is:
2024
hard
mcq
The projection of vector a=2i-3j+6k on vector b=i+2j+2k is:
2024
medium
mcq
The equation of the plane passing through (1,2,3) and perpendicular to the vector 2i+3j-k is:
2023
hard
mcq