Multivariable Calculus

posted by .

I was asked to state as a product of speed and unit vector a mass traveling at 1000ft/sec along the vector <1,sqrt(3)>. I know that v/|v| gives me the unit vector, which is (1/2i, sqrt(3)/2j). Do I keep the speed as given?

  • Multivariable Calculus -

    "product"? What does that mean in vectors?

    I suspect the problem means NOT the product, but to indicate the velocity as a vector. IF so, then speed along the direction of the vector is 1000, but looking at the triangle (1,sqr3, 2) then

    velocity=1000*cosTheta *i + 1000*sinTheta*j
    = 500 i +866 j

  • Multivariable Calculus -


    velocty=500i +.573 j

  • Multivariable Calculus -

    Most probably I misunderstood the question and quite frankly I thought this might be the answer, but in the answer box it did ask for the unit vector and the speed, which confused me. (This is a problem that I have already answered rightly or wrongly).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. …
  2. 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?
  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. Calculus - Dot Product

    consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD?
  5. Mamthematics - Vectors

    a) If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear …
  6. Mathematics - Dot Product

    Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB - vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB - vector AD) always be?
  7. 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 …
  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