Vector geomet 3 ABCDEF is a regular hexagon. A В orh a G. D If GA = a and GB = b, express the following in terms of a and b: a AD b FE c DC e FC h FD d AB f EC e g BE i AE press the following in termsof e on 19

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Please write the formula also

Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and b

Find the sum and difference of the following vectors:     a. <-4,6>+<5,0> b. <-7,5>0<-5,-9>

Find the image of the vector = (1, 2) by rotating it 30° counter-clockwise and scaling it by a factor of 4. Select all answers that are correct. O 2sqrt(3)-4 is the first component O 2+4sqrt(3) is the second component O 2sqrt(3)-4 is the second component O 2+4sqrt(3) is the first component none of these above

Q1(A): [9 Marks] Two vectors A and B are located at P1(2,2,2) and P2(2,-2,-2). Write vector notation for each starting from the origin. What will be the distance between both vectors? Determine the dot product and the angle between them.