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Vectors and Its Types

Given thatand...

Question

Given that and. What can you conclude about the vectors?

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Solution

Then,

(i) Either or, or

(ii) Either or, or

But, and cannot be perpendicular and parallel simultaneously.

Hence, or.

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Q. Given that and . What can you conclude about the vectors ?

\to a \cdot \to b = 0

\to a \times \to b = \to 0

. What can you conclude about the vectors

\to a

\to b

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Given that $a . b = 0$ and $a \times b = 0$ . What can you conclude about the vectors a and b?

\to a \cdot \to b = 0

\to a \times \to b = 0

, what can you conclude about the vector

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\vec{a} . \vec{a} = 0 and \vec{a} . \vec{b} = 0,

what can you conclude about the vector

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