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Draw the vector C⃗ =1.5A⃗ −3B⃗ .

The length and orientation of the vector will be graded. The location of the vector is not important.

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scme1702

If A is the measurement in the x-axis and B is the direction in the y-direction,

Magnitude = √(1.5² + (-3)²)
Magnitude = 3.35 units

Direction:
tan∅ = y/x
tan∅ = 3/1.5
∅ = 63.4°
Tan is negative in the second and fourth quadrants, and the values of x and y indicate that it is in the fourth quadrant. Therefore, the direction is 63.4° below the positive x-axis.

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