# Pre calculus

P=(-2,2) Q=(3,4) S=(2,-8)

PS-3PQ

Find the component form and magnitude of the vector.

1. 👍 0
2. 👎 0
3. 👁 378
1. PS-3PQ
= (-10,4) - 3(2,5)
= (-10,4) + (-6,-15)
= (-16,-11)

magnitude is √((-16)^2 + (-11)^2)
= √377

1. 👍 0
2. 👎 0
2. thank You

1. 👍 0
2. 👎 0
3. welcome

1. 👍 0
2. 👎 0
4. I dont understand how you got the answer. could you pls explain?

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

2. ### physics honors

You are given a vector in the xy plane that has a magnitude of 100.0 units and a y component of -50.0 units (b) Assuming the x component is known to be positive, specify the vector which, if you add it to the original one would

3. ### Physics

VECTOR IS IN THE DIRECTION 34 DEGREES CLOCKWISE THE NEGATIVE Y AXIS. THE X COMPONENT OF VECTOR A IS NEGATIVE 16 M .(A)WHAT IS THE Y COMPONENT OF VECTOR A? (B) WHAT IS THE MAGNITUDE OF VECTOR A?

4. ### physics

i don't see this in my book in a coordinate system, a vector is oriented at angle theta with respect to the x-axis. The y component of the vector equals the vector equals the vector's magnitude multiplied by which trigonometric

1. ### physics

A vector has an x-component of −21.0units and a y-component of 36.5 units. Find the magnitude and direction of the vector.

2. ### Physics

24. In a 2-dimensional Cartesian system, the y-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the

3. ### physics

the x- and y- component of an acceleration vector are 3.0 m/s^2 and 4.0 m/s^2, respectively. (a) The magnitude of the accerleration vector is (1) lets than 3.0 m.s^2, (2) between 3.0 m/s^2 and 4.0 m/s^2, (3) between 4.0 m/s^2 and

4. ### Math/Physics

Given the following vectors, where Vector A is 6.3 meters and Vector B is 3.5 meters, determine the magnitude of the following vector sums: A+B, A-B, B-A I tried to do magnitude such as A+B = square root (6.3)^2+(3.5)^2 = 7.2 then

1. ### Physics

A vector is directed at an angle tangent above the +x axis, pointing into the first quadrant. If the x component of this vector is 10 m, the magnitude of the vector is?

2. ### physics

You are given a vector in the xy plane that has a magnitude of 94.0 units and a y component of -44.0 units. A. What are the two possibilities for its component? For this part I got x = 83.1 and -83.1 B. Assuming the x component is

3. ### physics

You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -61.0 units. a)What are the two possibilities for its x component? b) Assuming the x component is known to be positive, specify the

4. ### Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer