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Vectors in physics

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If vector B has a magnitude of 140 km and an angle of 65 above the positive x axis, does that mean vector -B has the same magnitude, but is 65 degrees below the positive x axis? And when you are finding the components for vector -B, would you use -65 as ø? For reference, here is part of the problem: The displacement from the control tower to plane 2 is given by the vector B⃗ , which has a magnitude of 140 km and points 65 ∘ east of north.

Resuwen  Nov 4, 2015
edited by Resuwen  Nov 4, 2015

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1.  If vector B is has magnitude 140km and is 65° above the positive x axis then -B will have the same magnitude but will be 65° below the negative x axis (assuming the vector starts at (0, 0).  i.e. both the x and y coordinates will be reversed.

2.  65° East of North is 25° above the positive x-axis!

Alan  Nov 4, 2015
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That sounds right to me but I don't know about vectors.

Can someone knowledgable take a lquick look at this query please.  :))

Melody  Nov 4, 2015
#2
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1.  If vector B is has magnitude 140km and is 65° above the positive x axis then -B will have the same magnitude but will be 65° below the negative x axis (assuming the vector starts at (0, 0).  i.e. both the x and y coordinates will be reversed.

2.  65° East of North is 25° above the positive x-axis!

Alan  Nov 4, 2015
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Thanks Alan :))

Melody  Nov 4, 2015

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