Problem: 1) For the two vectors,Find the magnitude of the vector product: Express your answer in square meters.2) What is the direction of the vector product: ?

FREE Expert Solution

 1.

Vector components:

Ax=|A| cos θAy=|A| sin θ

Cross product: 

A×B=(AyBz-AzBy) i^+(AzBx-AxBz) j^+(AxBy-AyBx) k^

Magnitude:

|A|=Ax2+Ay2+Az2

From vector components equation:

Ax = (3.60) cos (70°) = 1.23m i

Ay = (3.60) sin (70°) = 3.38m j

A = (1.23 i + 3.38 j) m

In a similar manner:

B = [(2.40) cos (180°+30.0°) i + (2.40) sin (180°+30.0°) j] m 

B = (- 2.08 i - 1.2  j)m

The cross product:

A × B = (1.23 i + 3.38 j)×(- 2.08 i - 1.2  j)

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Problem Details

1) For the two vectors,

Find the magnitude of the vector product: 

Express your answer in square meters.


2) What is the direction of the vector product:
?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Cross Product (Vector Product) concept. If you need more Intro to Cross Product (Vector Product) practice, you can also practice Intro to Cross Product (Vector Product) practice problems.