find the sine of the angle between the vectors a and b if

a = î – 2k; b= ĵ – 4k

where k is k cap

find the angle between the vectors 4 î – 3 ĵ + 3k and 2 î – 3 ĵ + 2k

in quad ABCD prove that AD + BC = 2MN where MN are the midpoints of sides AB and CD respectively.

In triangle ABC , if D, E, F are the midpoints of side BC, CA, AB, respectively

show that

AD +BE +CF = 0

If a = 2 î – k; b= - î + 3k and c = î +2k find scalars x and y such that c = xa + yb

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