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If θ is the angle between two vectors a→ and b→ then, a→⋅b→ ≥ 0, only when

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Question

If θ is the angle between two vectors `veca` and `vecb` then, `veca * vecb` ≥ 0, only when

Options

  • `0 < theta < pi/2`

  • `0 ≤ theta ≤ pi/2`

  • `0 < theta < pi`

  • `0 < theta < pi`

MCQ
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Solution

`0 ≤ theta ≤ pi/2`

Explanation:

 `veca * vecb  ≥ 0`

⇒ `|veca||vecb| cos theta ≥ 0`

Now, `|veca|` = + ve, = + ve ⇒ `cos theta ≥ 0`

Therefore, `0 ≤ theta ≤ pi/2`

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Chapter 23: Scalar Or Dot Product - MCQ [Page 49]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 23 Scalar Or Dot Product
MCQ | Q 12 | Page 49
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