Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If $\vec a,\vec b,\vec c$ are vectors such that $\vec a.\vec b=0$ and $\vec a+\vec b=\vec c$ then:

Options:

$|\vec a|^2+|\vec b|^2=|\vec c|^2$

$|\vec a|^2=|\vec b|^2+|\vec c|^2$

$|\vec b|^2=|\vec a|^2+|\vec c|^2$

None of these

Correct Answer:

$|\vec a|^2+|\vec b|^2=|\vec c|^2$

Explanation:

$|\vec a+\vec b|^2=|\vec c|^2$

$|\vec a|^2+|\vec b|^2=|\vec c|^2$