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Find a unit vector in the direction opposite to3,4,5.

Short Answer

Expert verified

The required vector is150-3,-4,-5.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=3,4,5

02

Step 2. Find the norm of the vector.

v=3,4,5v=32+42+52=9+16+25=50

Therefore, the norm of the given vector is 50.

03

Step 3. Find the vector.

We know that the vector in the direction of vis 1v-v. Here ais the magnitude of the given vector and the negative sign shows the direction opposite tov=3,4,5.

The required vector is:

role="math" localid="1649521227299" 1vv=150-3,4,5=150-3,-4,-5


Therefore, the unit vector in the direction opposite to v=3,4,5is150-3,-4,-5.

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