Calculus

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1.Find vectors v*w if vector v = 5 vector i – 4 vector j + 4 vector k and vector w = –6 vector i + 3 vector j – 2 vector k.

2.Find vectors v*w if vector v = -3 vector i – 4 vector j - 8 vector k and vector w = 2 vector i + 6 vector j + 4 vector k.

  • calculus - eh? -

    v*w has no meaning in common notation.
    Do you mean v•w or v×w ?

  • Calculus -

    v times w

  • Calculus -

    i assume you mean cross-product

    I'll do #1:

    vxw =
    | i j k|
    |5 -4 4 |
    |-6 3 -2|
    = 32i-28j+26k

    You can make things a lot more readable by just saying you're dealing with vectors. Then you can forget about all those words and just write the values, as in my answer.

  • Calculus -

    no i don't mean cross product.

    3– 4– 2
    –14– 9– 4
    5+ 3– 4
    –4– 14– 9

    these are the possible answers. all with IJK following of course.

  • Calculus -

    In that case, say dot product.
    5i-4j+4k • -5i+3j-2k = -25-12-8 = -45

    you say you don't mean cross product, but you give vectors for answers.

    dot product of two vectors is just a number.

    I'm afraid I don't know what operation you are using.

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