Math - Algebraic Vectors

posted by .

Let vector u = [3, 2]

a) Determine each vector

i)
2u = 2[3, 2]
2u = [6, 4]

c) Determine the length of each vector in a.

MY QUESTION***** -------- Do you subtract the values to determine the length?

Length = 2u - u
Length = [6, 4] - [3, 2]
Length = [3, 4]

  • Math - Algebraic Vectors -

    Do not confuse the problem of finding the length of a line segment if you know the two end points
    with finding the length of a vector.

    Suppose we have 2 points A(8,3) and B(11,7)

    then vector AB = [3,4]

    and │AB│ = √(3^2+4^2)
    = 5

    line segment AB = √((11-8)^2 + (7-3)^2)
    = 5

    when you write vector [a,b], and vectors can be drawn anywhere as long as they have the same direction and magnitude, one can assume the vector [a,b] to start at the origin (0,0) and end at the point(a,b).
    Hence we can say │[a,b]│ = √(a^2+b^2)

    in other words │[3,2]│ = √(9+4) = √13

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - vectors

    In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(vector)= 2.0i + 4.0j + 6.0k and F(vector)= 136i -176j + 72k. What then is B(vector) in unit-vector notation if Bx = By?
  2. cartesian vectors 2

    let vector U = (vector u1, vector u2) vector V = (vector v1, vector v2) and vector W = (vector w1, vector w2) Prove each property using Cartesian vectors: a) (vector U+V)+W = vector U+(v+W) b) k(vector U+V) = k vector U + k vector …
  3. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is there …
  4. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is there …
  5. Physics

    Three vectors of lengths A = 45.6, B = 24.2, and C = 30.4. The angles are θa = 29.6° and θb = 57.5°, and C points along the negative y-axis. Determine the length of the vector A - C. Calculate the angle of this vector. …
  6. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.
  7. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.
  8. calculus

    State whether or not the following statements are true. Justify your reasoning.?
  9. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises
  10. Physics

    If vector a and b are two non collinear unit vectors and |vector a+ vector b|=√3 then find the value of ( vector a- vector b).(2 vector a+ vector b)

More Similar Questions