# 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|.

Correct result:

a1 =  3.6056
a2 =  6.7082
a3 =  6.0828
a4 =  2.2361

#### Solution:

${a}_{4}={a}_{0}-{b}_{0}=4.4721-2.2361=\sqrt{5}=2.2361$

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
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.
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:

• 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?
• Square
Points A[-9,7] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
• Calculate 6
Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
• 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
• Unit vector 2D
Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
• 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.
• ABS CN
Calculate the absolute value of complex number -15-29i.
• Vertices of a right triangle
Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
• Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
• Angle of the body diagonals
Using vector dot product calculate the angle of the body diagonals of the cube.
• Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate difference of vectors u-v d. Determine the coordinates of the vector w
• Vector
Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].
• Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
• Two forces
The two forces F1 = 580N and F2 = 630N have the angle of 59 degrees. Calculate their resultant force F.
• Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x