Trigonometry- ??????

posted by Elena

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!!!

  1. Steve

    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.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Calculus

    What does this mean? For any vector Vector a find Vector a × Vector a. Explain why (this is cross product stuff). Thanks
  2. 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 …
  3. 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?
  4. 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?
  5. 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 = ?
  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. 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.)
  8. 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.
  9. calculus

    State whether or not the following statements are true. Justify your reasoning.?
  10. 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

More Similar Questions