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


Result

ux =  11
uy =  18
vx =  -4
vy =  20
sx =  10
sy =  2
(u+v)x =  7
(u+v)y =  38
(u-v)x =  15
(u-v)y =  -2
wx =  -77
wy =  -126

Solution:

Solution in text u__x =
Solution in text u__y =
Solution in text v__x =
Solution in text v__y =
Solution in text s__x =
Solution in text s__y =
Solution in text (u+v)__x =
Solution in text (u+v)__y =
Solution in text (u-v)__x =
Solution in text (u-v)__y =
Solution in text w__x =
Solution in text w__y =







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

For Basic calculations in analytic geometry is 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. Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.

Next similar examples:

  1. Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  2. Coordinates of vector
    vectors_2 Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  3. Vector
    vectors Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
  4. Vectors
    green For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
  5. Line
    img2 Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
  6. Blocks
    cubes3_1 There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
  7. Three workshops
    workers_24 There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  8. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  9. Line
    skew_lines It is true that the lines that do not intersect are parallel?
  10. Chords
    chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
  11. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
  12. Reference angle
    anglemeter Find the reference angle of each angle:
  13. Sequence 2
    seq2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
  14. PIN - codes
    pin How many five-digit PIN - code can we create using the even numbers?
  15. Sequence
    seq_1 Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  16. Examination
    examination The class is 21 students. How many ways can choose two to examination?
  17. Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15