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Can You Have → a × → B = → a ⋅ → B with a ≠ 0 and B ≠ 0 ? What If One of the Two Vectors is Zero?

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प्रश्न

Can you have  \[\vec{A} \times \vec{B} = \vec{A} \cdot \vec{B}\] with A ≠ 0 and B ≠ 0 ? What if one of the two vectors is zero?

संक्षेप में उत्तर
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उत्तर

No, we cannot have \[\vec{A} \times \vec{B} = \vec{A} \cdot \vec{B}\] with A ≠ 0 and B ≠ 0. This is because the left hand side of the given equation gives a vector quantity, while the right hand side gives a scalar quantity. However, if one of the two vectors is zero, then both the sides will be equal to zero and the relation will be valid.

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अध्याय 2: Physics and Mathematics - Short Answers [पृष्ठ २८]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 2 Physics and Mathematics
Short Answers | Q 12 | पृष्ठ २८

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