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If aa→ and bb→ are adjacent sides of a rhombus, then aba→⋅b→ = 0 - Mathematics

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Question

If `vec"a"` and `vec"b"` are adjacent sides of a rhombus, then `vec"a" * vec"b"` = 0

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

If `vec"a" * vec"b"` = 0 then `vec"a" * vec"b" = |vec"a"||vec"b"| cos 90^circ`

So the angle between the adjacent sides of the rhombus should be 90° which is not possible.

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Chapter 10: Vector Algebra - Exercise [Page 219]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 10 Vector Algebra
Exercise | Q 45 | Page 219

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