Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km and a direction that makes an angleθθ= 24.0° to the left of the positive y-axis, vector→BB→has a magnitude of 5.70 km and a direction that makes an angle ofαα=34.0° above the positive x-axis, and vector→CC→has a magnitude of 3.50 km and a direction that makes an angleββ= 60.0° below the negative x-axis. Determine the magnitude of the vector→D=→AD→=A→+→BB→+→CC→

Question

Consider the three displacement vectors shown in the figure: Vector

A
A→
has a magnitude of 8.30 km and a direction that makes an angle
θ
θ
= 24.0° to the left of the positive y-axis, vector

B
B→
has a magnitude of 5.70 km and a direction that makes an angle of
α
α
=34.0° above the positive x-axis, and vector

C
C→
has a magnitude of 3.50 km and a direction that makes an angle
β
β
= 60.0° below the negative x-axis. Determine the magnitude of the vector

D
=

A
D→=A→
+

B
B→
+

C
C→

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