Question

Match List-I with List-II. Suppose \(\vec{a}\) and \(\vec{b}\) are vectors. 

List-I:

A. \(\vec{a}\) and \(\vec{b}\) are perpendicular if,
B. If angle between \(\vec{a}\) and \(\vec{b}\) is \(0\), then,
C. If angle between \(\vec{a}\) and \(\vec{b}\) is \(\pi\), then,
D. If \(\vec{a}\) and \(\vec{b}\) are unit vectors, then.

List-II:

I. \(\vec{a}\cdot\vec{b} = |\vec{a}||\vec{b}|\)
II. \(\vec{a}\cdot\vec{b} = -|\vec{a}||\vec{b}|\)
III. \(\vec{a}\cdot\vec{b} = \cos\theta\)
IV. \(\vec{a}\cdot\vec{b} = 0\)

• A. A-IV, B-I, C-II, D-III
• B. A-IV, B-II, C-I, D-III
• C. A-I, B-IV, C-II, D-III
• D. A-I, B-II, C-IV, D-III

Hint:

Always start vector angle questions with \(\vec{a}\cdot\vec{b}=|\vec{a}||\vec{b}|\cos\theta\).

Answer 1

The Correct Option is A