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The direction angle of a vector is 135o. The x-component of the vector is -3. What is the y-component of this vector

1 Answer

6 votes

Answer:

3

Explanation:

the vector somewhat looks like this:

^

_\|_ the angle is 135 degrees, and the x component is -3

| To find the y component given the direction angle and x component, use the formula y_comp = tan(angle) * x_comp

tan (135 degrees) * -3 = 3

You can also use the graph and geometry, but that method is not recommended for beginners as it is very easy to make a mistake. The graph should be used to check if your answer makes sense.

User Caleb Pitman
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