Mathematics · 2023
JEE Main · 8 April 2023, Shift 2 · Q15
The area of the quadrilateral A B C D with vertices A (2,1,1), B (1,2,5), C (-2,-3,5) and D (1,-6,-7) is equal to
The area of the quadrilateral $\displaystyle A B C D$ with vertices
$\displaystyle \mathrm{A}(2,1,1), \mathrm{B}(1,2,5), \mathrm{C}(-2,-3,5)$ and $\displaystyle \mathrm{D}(1,-6,-7)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 8 \sqrt{38}$
More from Vectors
- Let a= i+ j+ k, b=2 i+2 j+ k and d= a × b. If c is a vector such that a · c=| c|, | c-2 a|^2=8 and the angle between d and c is (π)/4, then |10-3 b ·…2025
- Let the arc AC of a circle subtend a right angle at the centre O. If the point B on the arc AC, divides the arc AC such that (length of arc…2025
- Let a and b be the vectors of the same magnitude such that (| a+ b|+| a- b|)/(| a+ b|-| a- b|)=√2+1. Then (| a+ b|^2)/(| a|^2) is:2025
- Let a=2 i+ j- k, b=(( a ×( i+ j)) × i) × i. Then the square of the projection of a on b is:2024
- Let a= i+2 j+ k and b=2 i+ j- k. Let c be a unit vector in the plane of the vectors a and b and be perpendicular to a. Then such a vector c is:2025
- Let a=2 i+3 j+3 k and b=6 i+3 j+3 k. Then the square of the area of the triangle with adjacent sides determined by the vectors (2 a+3 b) and ( a- b)…2026
- Let a=5 i- j-3 k and b= i+3 j+5 k be two vectors. Then which one of the following statements is TRUE?2023
- Let O A=2 a, O B=6 a+5 b and O C=3 b, where O is the origin. If the area of the parallelogram with adjacent sides O A and O C is 15 sq. units, then…2024
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.