Vector A has magnitude of 8.0 at an angle of 80.0 o from the x-axis. Vector B ha
ID: 1869619 • Letter: V
Question
Vector A has magnitude of 8.0 at an angle of 80.0 o from the x-axis. Vector B has magnitude of 6.0 at an angle of -30.0 o from the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B.
I NEED TO KNOW HOW TO FIND THE x and y COMPONENTS FOR V, PLEASE SHOW WORK! THANK YOU!
a.What is the x-component of vector C? Correct Answer: 6.585
b.What is the y-component of vector C? Correct Answer: 4.878
c.What is the x-component of vector D? Correct Answer: -3.807
d.What is the y-component of vector D? Correct Answer: 10.878
e.What is the x-component of vector V?
f. What is the y-component of vector V?
Explanation / Answer
Resolve components
Ax= 8.0 cos 80= 1.38 i
Ay = 8 sin 80 = 7.87 j
Bx = 6.0 cos 30 = 5.19 i
By = -6 sin30= -3 j
V= 2A- B
= 2 ( 1.38 i +7.87 j)- 5.19 i +3 j
=-2.43 i-18.74 j
the x-component of vector V is -2.43 i
the y-component of vector V is -18.74 j
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