# Applied Maths

posted by .

Given that position vector a=4i+2j, position vector b=13i+5j are the vectors of A and B respectively. Given also that C lies on the line AB such that (Ab/AC)=3.

Find vector AB, vector AC and the position vector of C.

Given that vector BD=2i+4j, show that D lies on the line AB ad find the length of OD.

Can someone help me to solve it please?

## Similar Questions

1. ### Physics

The velocity vefot of a ball is v(t)=-3x+4y at any time. Its initial position is r=12x-4y. The components of the velocity vector are in m/s and the components of the position vector are in meters. The symbols x and y are the unit vetors …
2. ### Precalc

A line in space has the vector equation shown here. Fill in the blanks to find the position vector to the fixed point on the line that appears in the equation: vector r=(5+(6/11)d)vector i + (3+(9/11)d)vector j + (7+(2/11)d)vector …
3. ### maths

Given that vector c and vector d are non zero vectors such that vector c =x1i + y1j + z1k and vector d =(y1z2-y2z1)+(x1y2 -x2y1)show that the two vectors are perpendicular.
4. ### physics

The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per second-squared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle, which …
5. ### Physics

You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector …
6. ### Physics

The acceleration of a particle moving only on a horizontal xy plane is given by , where is in meters per second-squared and t is in seconds. At t = 0, the position vector locates the paticle, which then has the velocity vector . At …
7. ### Maths Vector Helpppp

The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show …
8. ### calculus

State whether or not the following statements are true. Justify your reasoning.?
9. ### maths

The position vector of m in the same plane are as the point a and b is given by m=1÷2(a+b).if the vector A(-4,-3),B(2,-1).What is the direction and the relationship of vector AM and vector BM
10. ### Physics

If vector a and b are two non collinear unit vectors and |vector a+ vector b|=√3 then find the value of ( vector a- vector b).(2 vector a+ vector b)

More Similar Questions

Post a New Question