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16. Applying your knowledge of unit vectors and of the scalar product, find the dot product between vectors d = a, ? + a,9 +
16. Applying your knowledge of unit vectors and of the scalar product, find the dot product between vectors d = a, ? + a,9 + a,f and b = b,f + by) + b,4. We can generate the following equation to describe the dot product of two vectors in terms of components. . a . b = d,by + ajby + arb, Imbi tertion .L 17. Prove that the cross product between vector a = afta, ) + a,f and b = b,f + by> + b,f becomes the following equation: mon will enirmafed] It axb = (a,b, - a,by )? - (a,b, - a,by)* - (a,b, - amb.)) + (arby - ayb,)+ 18. Find the dot product of the following vectors: d = 28 + 39 +14 and 6 = 48+19+21 b. =-79-21 and 6--59-69 -81 C. d = 98 + 8 +51 and 5 68+49 +38 in
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