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For the three vectors shown, find the resultant vector by means of the component method (in terms of unit vector notation.) The magnitude of vector à is 5 [m], that of B is 5 [m] and ₹ is 4 [m]. 10

For the three vectors shown, find the resultant vector by means of the component method (in terms of unit vector notation.) The magnitude of vector à is 5 [m], that of B is 5 [m] and ₹ is 4 [m]. 10

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For the three vectors shown, find the resultant vector by means of the component method (in terms of unit vector notation.) The magnitude of vector A is 5 [m], that of B is 5 [m] and C is 4 [m]. 20.0 degree 60.0 degree +X
Transcribed Image Text:For the three vectors shown, find the resultant vector by means of the component method (in terms of unit vector notation.) The magnitude of vector A is 5 [m], that of B is 5 [m] and C is 4 [m]. 20.0 degree 60.0 degree +X
Expert Solution
Step 1

Given: The magnitude of vector A is 5 m. 

           The magnitude of vector B is 5 m. 

           The magnitude of vector C is 4 m. 

           The angle made by vector A along negative x-axis is 20°. 

          The angle made by vector B along positive x-axis is 60°. 

To determine: The resultant vector 

Vector A has two components, one along negative x-axis and other along positive y-axis. 

The vector A is 

A→=Acos20-i^+Asin20j^

Substitute 5 m for A 

A→=5×cos20-i^+5×sin20j^A→=4.7-i^+1.7j^A→=-4.7 i^+1.7 j^

Vector B has two components, one along positive x-axis and other along positive y-axis. 

The vector B is 

B→=Bcos60i^+Bsin60j^

Substitute 5 m for B

B→=5×cos60i^+5×sin60j^B→=2.5 i^+4.3 j^

 

 

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