Mathematics - Dot Product

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Consider rhombus ABCD
a) Find the resultants of vector AB + vector AD and vector AB - vector AD

b) What will the value of (vector AB + vector AD) dot product (vector AB - vector AD) always be? Explain.

c) Is the value of (vector AB + vector AD) dot product (vector AB - vector AD) the same as your answer to part b)? Explain.

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