Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the vectors \(\vec{a}=2\hat{i}-3\hat{j}\) and \(\vec{b}=4\hat{i}+3\hat{k}\) are given then the expression which is not defined as

Options:

\(\vec{a}+\vec{b}\)

\(\vec{a}\times \vec{b}\)

\((\vec{a}\cdot \vec{b})\vec{a}\)

\((\vec{a}\times \vec{b})\vec{a}\)

Correct Answer:

\((\vec{a}\times \vec{b})\vec{a}\)

Explanation:

Note that \((\vec{a}\times \vec{b})\vec{a}\) is not defined because\(\vec{a}\times \vec{b}\) is a vector which is perpendicular to \(\vec{a}\).