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?

Correct answer:

|c| =  10.63

Step-by-step explanation:

$$\begin{gathered} c=b-a=(0-8;17-10)=(-8;7) \\ \mathrm{\mid }c\mathrm{\mid }=\sqrt{(-8{)}^2+7^2}=10.63 \end{gathered}$$

Try another example

Related math problems and questions:

• Vectors
  For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
• 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|.
• Space vectors 3D
  The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, the distance between the vectors.
• 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 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?
• 3d vector component
  The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
• Unit vector 2D
  Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
• Mean
  if the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?
• Vector
  Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• Three vectors
  The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces.
• Add vector
  Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
• 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.
• Vector
  Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
• Three points
  Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Square
  Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
• Angle between vectors
  Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Vector 7
  Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.