# Vector 7

Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.

Correct result:

x =  -8
y =  -15
A =  17

#### Solution:

$x=4-12=-8$
$y=1-16=-15$
$A=\sqrt{ x^2+y^2 }=\sqrt{ (-8)^2+(-15)^2 }=17$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Our vector sum calculator can add two vectors given by its magnitudes and by included angle.
Pythagorean theorem is the base for the right triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• 3d vector component
The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
• Vector
Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
• Vectors
Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
• Unit vector 2D
Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
• Find the 3
Find the distance and midpoint between A(1,2) and B(5,5).
• Medians and sides
Triangle ABC in the plane Oxy; are the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try calculate lengths of all medians and all sides.
• Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
• Angle between vectors
Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Find the 5
Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
• Three points
Three points K (-3; 2), L (-1; 4), M (3, -4) are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write the d
• Calculate 6
Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
• Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
• Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
• Vector
Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
• Triangle
Plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3] give Triangle KLM. Calculate its area and its interior angles.
• Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n