Short Answer

If u and v are vectors in $ℝ^{3}$ such that $u \times v = v \times u$ , what can we conclude about u and v?

We conclude about u and v that they are parallel.

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TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

If u and v are vectors in $ℝ^{3}$ such that $u \times v = v \times u$ , what can we conclude about u and v?

Step 2. We conclude about u and v:

The cross product may be the first product you’ve encountered that is not commutative. However, it is anti-commutative. That is, for every two vectors u and v in $ℝ^{3}$ , we have the following:

$v \times u = u \times v$

We conclude about u and v that they are parallel.

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Short Answer

If u and v are vectors in $ℝ^{3}$ such that $u \times v = v \times u$ , what can we conclude about u and v?

Step by Step Solution

Step 1. Given Information

Step 2. We conclude about u and v:

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Calculus

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Short Answer

If u and v are vectors in ℝ3 such that u×v=v×u, what can we conclude about u and v?

Step by Step Solution

Step 1. Given Information

Step 2. We conclude about u and v:

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If u and v are vectors in $ℝ^{3}$ such that $u \times v = v \times u$ , what can we conclude about u and v?