The position vectors A and B with respect to the origin O,(-8,5) are (12,-5)and respectively. Point M is the midpoint of AB and N is the midpoint of OA.
(a) Find:
(i) The coordinates of N and M;
(ii) The magnitude of NM,
(b) Express vector NM in term OB.
(c) Point P maps onto P' by a translation(-5,8). Give that OP = OM + 2MN, find the coordinates of

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 2 j − 7 k

  2. maths2

    Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4 A. Symmetric with respect to the x-axis B. Symmetric with respect to the y-axis C. Symmetric with respect to the origin D.

  3. Maths Vector Helpppp

    The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show that l does not intersect the

  4. Physics

    A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at

  1. Algebra

    For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. 4y^4+24x^2=28 and y=1/x^2+5 Check all symmetries that apply x-axis,y-axis,origin or non of the above.

  2. Calculus

    Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from the origin. C. All the

  3. physics-vectors

    If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors

  4. math

    given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?

  1. vectors( need answer asap)

    The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.

  2. Mathematics (Vectors)

    Question being asked: Use the trigonometric ratios and Pythagorean theorem to add the vectors given in the figure. Determine the magnitude and direction of the resultant. The problem has two vectors, the first labeled A is

  3. mathematics vectors

    Relative to the origin O, two points A and B have position vectors a and b respectively. A line, l, passes through A and is parallel to b. It is given that b is a unit vector. (i) Write down a vector equation of l. Show that the

  4. physics

    the position vectors of the head and tail of radius vectors are 2i+j+k and 2i-3j+k. the linear momomentum is 2i+3j+k. the angular momentum is

You can view more similar questions or ask a new question.