Ask Question
28 June, 16:35

Let a and b be real numbers. Find all vectors (2, a, b) orthogonal to (1, - 5, - 4). What are all the vectors that are orthogonal to (1, - 5, - 4) ? Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. Vectors of the form (2, a, b), where (a, b) = (Type an ordered pair. Use a comma to separate answers as needed.) B. Vectors of the form (2, a,), where a is any real number (Type an expression using a as the variable.) C. There are no vectors of the form (2, a, b), where a and b are real numbers.

+3
Answers (1)
  1. 28 June, 16:47
    0
    B) vector of the form (2, r, (2-5r) / 4)

    Step-by-step explanation:

    (2, b, c) is orthogonal to (1,-5,-4) if

    2*1-5b-4c=0, i. e,

    5b+4c=2

    We have equation with two variables, so we know that we wil have infinity lot solutions.

    Let's b be some real number r, so we have:

    4c=2-5r, i. e,

    c = (2-5r) / 4.

    So there is infinite lot of othogonal vectors of the form: (2, r, (2-5r) / c)) where r is any real number.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Let a and b be real numbers. Find all vectors (2, a, b) orthogonal to (1, - 5, - 4). What are all the vectors that are orthogonal to (1, - ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers