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The formula ababab(a→+b→)2=a→2+b→2+2a→×b→ is valid for non-zero vectors aa→ and bb→ - Mathematics

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Question

The formula `(vec"a" + vec"b")^2 = vec"a"^2 + vec"b"^2 + 2vec"a" xx vec"b"` is valid for non-zero vectors `vec"a"` and `vec"b"`

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

 `(vec"a" + vec"b")^2 = (vec"a" + vec"b") * (vec"a" + vec"b")`

= `|vec"a"|^2 + |vec"b"|^2 + 2vec"a" * vec"b"`

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Chapter 10: Vector Algebra - Exercise [Page 219]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 10 Vector Algebra
Exercise | Q 44 | Page 219
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