Trigonometry

posted by .

Which of the following pairs of vectors are orthogonal?
(i) v = 18i − 3j and w = −i − 6j
(ii) v = 15i − 2j and w = −4i + 30j
(iii) v = 3i − j and w = i + 3j
A. (i) and (ii)
B. (i) and (iii)
C. (ii) only
D. (i) only
17.

  • Trigonometry -

    Calculate the dot product of the three pairs of vectors. If the dot product is zero, the vectors are orthogonal.
    For example,
    (i)<18,-3>.<-1,-6>=-18+18=0
    So pair (i) is orthogonal.

    Post your answer for checking if you wish.

  • Trigonometry -

    v•w = 0 if v┴w

    18i−3j • −i−6j = 0
    15i−2j • −4i+30j = -120
    3i−j • i+3j = 0

    Can you take it from here?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. chemistry

    For which of these elements would the electron affinity process shown be least favorable?
  2. chemistry

    For which of these elements would the electron affinity process shown be least favorable?
  3. calculus

    Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
  4. biology

    Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
  5. Grade 12 Calculus

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  6. calculus (gr 12)

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  7. calculus (gr 12)

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  8. physics

    Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^−9 C at (5 m, 1 m), −1 × 10^−9 C at (−2 m, −3 m), and 2 × 10^−9 C at (−2 m, 4 m), are arranged in the (x, y) plane as …
  9. algerbra help plzzz

    Select all of the expressions that are equivalent to 1/3(−5x−6/2)−7/8 . A.−20x−45/24 B.−5x−6/6−7/8 C.−8x/24+21/24 D.5x−6−21/12
  10. math help azap

    Select all of the expressions that are equivalent to 1/3(−5x−6/2)−7/8 . A.−20x−45/24 B.−5x−6/6−7/8 C.−8x/24+21/24 D.5x−6−21/12

More Similar Questions