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Y 1. Find : a. The area b. Vx = 3 c. Vy= 7
9
(4,1) X 3
2. Calculate the area between curves y = 2 cos x and y = sin 2x ;
Vector 1. |a | = 2 ; |b | = 2 b.(a-b) = -2 Calculate : a) cos , is the angle between a xb b) |2a +b| a) |a | |b | cos - 4 cos - 4 = -2
= -2
cos = = 60 b) |2a +b| = √ =√ =√
= 2√
≤x≤
2. Projections vector u = 2i +j - 3k at vector v = -4i +5j + 2k is … u = (
) v = (
. v =
)
(
=-
=(
( )
)
)