Let v = (v1, v2) be a vector in r2. show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector. v = (9, 40)

and

Step-by-step explanation:

We are given that be a vector in .

We have to show that is orthogonal to v.We have to find the two unit vector orthogonal to the given vector v=(9,40).

Orthogonal vectors:If two vectors u and v are orthogonal then

Using this condition

Hence, is orthogonal to v.

By using this fact then, we get

(40,-9) is orthogonal to v=(9,40)

Unit vector=

is orthogonal to v=(9,40)

The two unit vectors which are orthogonal to given vector v=(9,40) are given by

and

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step-by-step explanation: