# 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 = -7.u

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 = -7.u

**Correct result:****Showing 0 comments:**

Tips to related online calculators

For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

Our vector sum calculator can add two vectors given by its magnitudes and by included angle.

Our vector sum calculator can add two vectors given by its magnitudes and by included angle.

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

## Next similar math problems:

- 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]. - Vectors

For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10) - Midpoint of segment

Point A has coordinates [-16; 23] and the midpoint of the segment AB is the point [2; 12]. What are the coordinates of point B? - Vector 7

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

Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent. - Unit vector 2D

Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Scalar dot product

Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120° - Coordinates of a centroind

Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians). - 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? - Angle between vectors

Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20) - Line

Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p? - Line

Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - 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|. - Three points 2

The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D. - Isosceles trapezoid

Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid. - Circle

Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?