Trigonometry- ??????

If vector a= (10,10) and vector b= (4,5)
then ||a+b|| ≠ ||a|| + ||b||. Explain.

I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!

asked by Elena
  1. to explain, just evaluate:

    |a| = √200
    |b| = √41
    a+b = (14,15)
    |a+b| = √394 19.85
    |a|+|b| = √200+√41 = 20.55

    Seems clear to me.

    if a and b are two sides of a parallelogram, a+b is the diagonal.

    Clearly the indicated values cannot be equal unless a is parallel to b.

    posted by Steve

Respond to this Question

First Name

Your Answer

Similar Questions

  1. 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? Explain. c) Is the value of (vector
  2. calculus

    State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b +
  3. 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.
  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). Explain the problem that arises
  5. Vectors

    Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)
  6. Calc: PLEASE HELP!

    How can this be proven! I have tried so many ways! PLEASE help! Verify using an example that Vector a + (Vector b • Vector c) = (Vector a • Vector b) + Vector c? Explain your reasoning.
  7. 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
  8. 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 = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ?
  9. 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 = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ?
  10. Physics

    Part A of this question asks for the sum of vector A = 3x+5y and vector B = 1x-3y. I did this and got the vector A + vector B = 4x+2y. Part B then asks what the magnitude and direction of vector A + vector B? The answer in the

More Similar Questions