Question

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3.Prove the following:
(1) a-bl=\ a + bla. b = 0)
(ii) a. {(a . a)b- (a. b) a ) = 0
4.(i)Let u, V and w be vectors in 2-space(2-parts). Prove that u.(v + w)=u.x+u.w
(ii) Find the direction cosines of the vector î - j + k
5. (1)Find the initial point of the vector v = (1,3) whose terminal point is B(-1.2).
(11) Given that the vector OA = (1,-3) and OB = (3,-1) , find the position vector of
point dividing the line AB in the ratio 2:3
(iii)Find the orthogonal (vector)projections of the vectors a = (1,0) and b = (0,1) on
the line L that makes an angle 0 with the positive x - axis in xy plane i.e R2
(iv) Find the coordinates of P if ||OP|| = 5 and OP is in the direction of vector (2,-1,4).​

Answer 1

Answer:

I don't know but you have to only ask one question at a one time ok