JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2023, Shift 2, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

The area of the quadrilateral

ABCD

with vertices

A(2, 1, 1)

B(1, 2, 5)

C(-2, -3, 5)

and

D(1, -6, -7)

is equal to

(1)48
(2) $8\sqrt{38}$ Official answer
(3) $9\sqrt{38}$
(4)54

Official answer

Option 2

NTA final key.

Chapter: Vector Algebra
Topic: Cross Product
Idea tested: Area of Quadrilateral via Diagonals

Same idea in other shifts

Asked 3× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.