The figure shows a vector a in the xy-plane and a vector b in the direction of k

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The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are |a | = 3 and |b | = 2. (a) Find |a x b |. (b) Use the right-hand rule to decide whether the components of a x b are positive, negative, or 0.
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that right hand rule drawing was surprisingly helpful i couldnt figure it out beforehand 😭

nikable
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So, do you just assume that the angle between a and b is 90°. I know you said we can tell from the figure, but to me it looks like its more than 90°. How else can we prove its actually 90°?

mwangikanice