Maths

The force determined by the vector r=(1,-8,-7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector a=2i+2j+k. Then the vector component of the force r along vector a is

  1. 👍
  2. 👎
  3. 👁
  1. r•a/|a|

    1. 👍
    2. 👎
  2. Since we know that,
    Projection of r vector along a vector=
    (r vector)•(a^)
    =(i-8j-7k)•(2/3xi+2/3xj+1/3xk)
    =(2/3xi-16/3xj-7/3xk)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

  3. Physics

    A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector

  4. Calculus

    A force of 200 N is resolved into two vector components of 150 N and 80 N. Are these rectangular vector components? Justify your response. If they are not, determine the directions of the components.

  1. Physics

    You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Here's

  2. physics

    When a force acts on an object from an angle other than either 0° or 180° to the direction of motion: 1) The force is perpendicular to the direction of motion, so no work gets done. 2) The parallel and perpendicular component of

  3. Physics

    You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer

  4. 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.

  1. business

    Business relationships often present ethical dilemmas that are ________ 1. not easily resolved 2. easily resolved by following the relevant laws 3.best resolved by creating a lose-lose situation 4.irrelevant and therefore require

  2. Math

    let OA,OB,OC be 3 mutually perpendicular lines through the origin whose direction cosines are,,.if OA=OB=OC=a find equation of plane ABC

  3. Math: Vectors

    Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?

  4. Dot Product

    Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to

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