JEE Main 2023 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 6 April 2023, Shift 2, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A.

Let the vectors

\vec{a},\vec{b},\vec{c}

represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by

\vec{a}

\vec{b}+\vec{c}

and

\vec{a}+2\vec{b}+3\vec{c}

is equal to:

(1)VOfficial answer
(2)2 V
(3)3 V
(4)6 V

Official answer

Option 1

NTA final key.

Chapter: Vector Algebra
Topic: Triple Products
Idea tested: STP Geometric Interpretation

Same idea in other shifts

Asked 3× in all

8 Jan 2020, Shift 1 · Q66Let the volume of a parallelopiped whose coterminous edges are given by $\vec{u}=\hat{i}+\hat{j}+\lambda\hat{k}$ ,…MediumSingle correct
5 Sep 2020, Shift 1 · Q67If the volume of a parallelopiped, whose coterminus edges are given by the vectors $\vec{a}=\hat{i}+\hat{j}+n\hat{k}$ ,…MediumSingle correct

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 108 of the 174 JEE Main shifts held from 2017 to 2026.