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# Consider the vectors $\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathbf{d}$ in the picture below: [asy] size(150); import TrigMacros; pair A =

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Consider the vectors $$\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathbf{d}$$ in the picture below:
Consider the list of dot products $$\mathbf{a}\bullet \mathbf{b}, \mathbf{a} \bullet \mathbf{c}, \mathbf{a} \bullet \mathbf{d},\mathbf{b}\bullet \mathbf{c}, \mathbf{b} \bullet \mathbf{d}, \mathbf{c} \bullet \mathbf{d}.$$
For each dot product, enter in positive if it's positive, negative if it's negative, and 0 if it's equal to zero. Answer with the resulting list.

Feb 9, 2019

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Assuming a and b are orthogonal then:

a.b is 0

a.c is positive

a.d is negative

b.c is positive

b.d is positive

c.d is negative

Feb 9, 2019