JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 1 February 2024, Shift 2, Maths Q30

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

Let

\vec{a}=\hat{i}+\hat{j}+\hat{k}

\vec{b}=-\hat{i}-8\hat{j}+2\hat{k}

and

\vec{c}=4\hat{i}+c_2\hat{j}+c_3\hat{k}

be three vectors such that

\vec{b}\times\vec{a}=\vec{c}\times\vec{a}

. If the angle between the vector

\vec{c}

and the vector

3\hat{i}+4\hat{j}+\hat{k}

\theta

, then the greatest integer less than or equal to

\tan^2\theta

is ________.

Official answer

NTA final key.

Chapter: Vector Algebra
Topic: Cross Product
Idea tested: General Solution of a x x = b

Same topic in other shifts

All Cross Product questions

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