Vectors Questions and Answers

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a point p divides the line rt in the ratio "-2:5." find the coordinates of p given that r(3,1) and t(6,-5).

asked May 29, 2023 in Mathematics Form 3 by 0742310XXX

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Given that position vectors of points A and B are a = vector of point a and b = vectors of point b and C is a point on AB such that AC : CB = 1 : 2. Find the coordinates of the point C.

asked Aug 16, 2021 in Mathematics Form 3 by anony mous

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Translation Q is represented by the column vector Translation Q column vector and another translation R by the column vector Translation R column vector. A point S is mapped onto a point T by Q and a point T is mapped onto a point U by R. If point U is (8 , −4) ,determine the co-ordinates of point S.

asked Aug 13, 2021 in Mathematics Form 2 by anony mous

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If OA = 3i + 2j – 4k and OB = 4i + 5j – 2k, P divides AB in the ratio 3:-2. Determine the modulus of OP leaving your answer to 1 decimal place. Given that O is the origin.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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The points A, B and C lie on a straight line. The position vectors of A and C are 2i + 3j + 9k and 5i - 3j + 4k respectively; B divides AC internally in the ratio 2:1 Find the:

asked Aug 13, 2021 in Mathematics Form 2 by anonymous

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The gradient of a straight line L1, passing through the point P (3, 4) and Q (a, b) is -3/2. A line L2 is perpendicular to L1 through Q and R (2, -1). Determine the values of a and b.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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The coordinates of points A and B are A (2, 3).B (4,–5). M is the midpoint of vector AB. Determine the coordinates of point M and the magnitude of vector BM.

asked Aug 2, 2021 in Mathematics Form 2 by anony mous

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In the triangle given below OP= p and OQ = q.R is a point on PQ such that PR:RQ = 1 : 3 and that 5OS= 2OQ.PS and OR intersect at T.

asked Jul 21, 2021 in Mathematics Form 3 by anonymous

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In the triangle below OA =a and OB=b. M is mid-point of Ab and N is a point on Ob such that ON=1/3OB. AN and OM intersect at P

asked Jul 2, 2021 in Mathematics Form 2 by anony mous

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Given A(2,7), B(−6,−21) and C(1,3.5). Show that the points A,B and C are collinear.

asked Jun 30, 2021 in Mathematics Form 3 by anony mous

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Given that A (4, -2, 6) and B (-3, 1, -2) and that a point N divides AB in the ratio -2:7. Find the vector ON in terms of i, j and k.

asked Jun 30, 2021 in Mathematics Form 2 by anonymous

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The position vectors of points A and B are OA=q21 vector a and OB = q21 vector b .A point M is on AB such that AM = ½AB and a point N is on OB such that ON:NB= 1:

asked Jun 17, 2021 in Mathematics Form 2 by anonymous

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