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91影视

Evaluate the cross productsAB and CD. (part )

Short Answer

Expert verified

The cross product is 21 and into the page. (part a)

The cross product is24and out of the page.(part b)

Step by step solution

01

Step :1 Introduction  (part  a )

The cross-product of two vectors is also a vector. The direction of the vector is derived from the right-hand rule. The expression for the magnitude of cross product is:

AB=ABsin

Where Aand Bare the magnitude of the vectors and is the angle between them.

02

Step :2 Explanation(part a)

The expression for the cross product is:

AB=ABsin

Substitute 6 for A,4for Band45for in the equation,

AB=ABsin

=(6)(4)sin45

=21.21

The direction of the vector is into the page calculated form right hand rule.

03

Step :3 Concept introduction (part b )

A vector is formed by the cross product of two vectors. The right-hand rule is used to determine the vector's direction. The magnitude of the cross product is expressed as:

AB=ABsin

Where Aand Bare the magnitude of the vectors and is the angle between them.

04

Step :4 Explanation (part b )

The expression for the magnitude of cross product is:

CD=CDsin

Substitute 6for C,4for Dand 90for in the equation,

CD=CDsin

=(6)(4)sin90

=24

The direction of the vector is out of the page calculated form right hand rule.

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