Solution-Find the position vector of point

Find the position vector of point

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Reference no: EM132213877

Question 1. u = -7a + 2b and v = (-2t - 3)a -(3t +8)b and u//v, find t.

Question 2. A and B have position vector(2) and (6) respectively. If M is a point on AB

(5) (13)

AM: MB = 3:1 find the position vector of point M

Question 3.

Given: ABCD is a parallelogram. BC‾ =u and DC‾ = v.S is a point on AD‾ such that AS:SD= 1:3 and R is a point on AB‾ such that AR:RB = 1:3. Find each of the following vectors:
a. DR‾
b. SR‾
c. AC‾
d. BD‾
e. SC‾
f. write down two relations between SR‾ and DB‾

Verified Expert

The assignment asks questions from topic- Vectors. Parallel vectors have their x ,y and z(if it's 3D) components proportional. Section formula is used to calculate pos. vector of a point cut by 2 Vectors in a given ratio.It can also be used to calculate position vector of a point outside 2 vectors, given the ratio in which it cuts these 2 vectors , called as external case .In that case formula changes a little bit replacing plus sign with minus. Triangle law of vector addition is used to calculate resultant of 2 Vectors .One should note that Vectors acts from head to tail . So AB vector isn't same as BA .Infact AB has a direction opposite to that of BA and hence AB=-BA . Also note that Parallel Vectors have same direction cosines but have different direction ratios. The chapter is interesting is one is eager to learn and easy too .

Reference no: EM132213877

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Find the position vector of point

Reference no: EM132213877

Reference no: EM132213877

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