Question

Which pair of vectors is orthogonal?

u = ⟨–3, 2⟩ and v = ⟨–2, 1⟩
u = ⟨1, 5⟩ and v = ⟨–5, 1⟩
u = ⟨2, 1⟩ and v = ⟨–4, 3⟩
u = ⟨2, 3⟩ and v = ⟨3, 1⟩

Answer 1

Answer:

B: u = (1,5) and v = (-5,1)

Step-by-step explanation:

edge 2021

Answer 2

The pair of vectors which are orthogonal to each other will be u = ⟨1, 5⟩ and v = ⟨–5, 1⟩. Then the correct option is B.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

For the orthogonal vector, the dot product of two vectors will be zero.

Check first option, we have

u·v = ⟨–3, 2⟩·⟨–2, 1⟩

u·v = 6 + 2 = 8 (incorrect)

Check second option, we have

u·v = ⟨1, 5⟩·⟨–5, 1⟩

u·v = –5 + 5 = 0 (correct)

Check third option, we have

u·v = ⟨2, 1⟩·⟨–4, 3⟩

u·v = –8 + 3 = –5 (incorrect)

Check fourth option, we have

u·v = ⟨2, 3⟩·⟨3, 1⟩

u·v = 6 + 3 = 9 (incorrect)

Then the correct option is B.

More about the vector link is given below.

https://brainly.com/question/13188123

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