Post a New Question

Linear Algebra

posted by .

Suppose that in a certain basis B = (x,y,z), vector u is: u = 2x+3y-z. Find a unit vector with the same direction as u.

Thank you

  • Linear Algebra -

    |u| = sqrt (2+9+1) = sqrt(12) = 2 sqrt(3)

    unit vector = ( 1/{2 sqt3} ) u

    = (1/6) sqrt 3 (2i+3j-k)

  • Linear Algebra -

    how did you get (2+9+1)?

    Thank you

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. Math

    Find the unit vector that points in the same direction as the vector from the point P=(8,2) to the point Q=(5,9) Find vector PQ, then divide it by its magnitude.
  3. math

    A trigonmetric polynomial of order n is t(x) = c0 + c1 * cos x + c2 * cos 2x + ... + cn * cos nx + d1 * sin x + d2 * sin 2x + ... + dn * sin nx The output vector space of such a function has the vector basis: { 1, cos x, cos 2x, ..., …
  4. physics

    Vector vector A has a magnitude of 6.90 units and makes an angle of 46.5° with the positive x-axis. Vector vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods find the following. …
  5. calculus

    Find a vector that has the same direction as the given vector but has length 6. ‹-2, -2, 4› I know how to find a unit vector of this, but to find a vector in the same direction but length >1 I'm not sure how to determine the …
  6. Physics

    Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ?
  7. Physics

    Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ?
  8. calculus

    Find a unit vector U such that the rate of change of f in the direction of U at the given point is maximum. point being (3,5,pi) I know hos to do this when given a direction but since im asked to ind the unit vector first it kinda …
  9. calculus

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

Post a New Question