Chapter 9: Q. 3 (page 627)

True or False
If u and vare vectors, then
$u \times v + v \times u = 0$

Short Answer

Expert verified

Given statement "If u and v are vectors, then $u \times v + v \times u = 0$ " is true.

Step by step solution

Step 1. Given information

An expression is given as $u \times v + v \times u = 0$

Step 2. Verify statement

Cross product is taking component in the perpendicular direction with respect to other vector.

The property of cross product is

$u \times v = - v \times u$

On simplification we get,

$u \times v = - v \times u u \times v + v \times u = 0$

Hence, given statement is true.

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True or False
If u and vare vectors, then
$u \times v + v \times u = 0$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Verify statement

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True or FalseIf u and vare vectors, thenu×v+v×u=0

Short Answer

Step by step solution

Step 1. Given information

Step 2. Verify statement

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True or False
If u and vare vectors, then
$u \times v + v \times u = 0$