Step 1: Find the magnitude (length) of the vector v=⟨3,4⟩. The magnitude of a vector v=⟨a,b⟩ is given by √(a²+b²). So, the magnitude of v is √(3²+4²) = 5.

Step 2: A unit vector in the same direction as v is given by v/|v|. So, the unit vector in the same direction as v=⟨3,4⟩ is ⟨3/5, 4/5⟩.

Step 3: The unit vector in the direction opposite to v is simply the negative of the unit vector in the same direction as v. So, the unit vector in the direction opposite to v=⟨3,4⟩ is -⟨3/5, 4/5⟩ = ⟨-3/5, -4/5⟩.

Question

Step 1: Find the magnitude (length) of the vector v=⟨3,4⟩. The magnitude of a vector v=⟨a,b⟩ is given by √(a²+b²). So, the magnitude of v is √(3²+4²) = 5.

Step 2: A unit vector in the same direction as v is given by v/|v|. So, the unit vector in the same direction as v=⟨3,4⟩ is ⟨3/5, 4/5⟩.

Step 3: The unit vector in the direction opposite to v is simply the negative of the unit vector in the same direction as v. So, the unit vector in the direction opposite to v=⟨3,4⟩ is -⟨3/5, 4/5⟩ = ⟨-3/5, -4/5⟩.

Knowee AI · Accepted Answer

Step 1: Find the magnitude (length) of the vector v=⟨3,4⟩. The magnitude of a vector v=⟨a,b⟩ is given by √(a²+b²). So, the magnitude of v is √(3²+4²) = 5.

Step 2: A unit vector in the same direction as v is given by v/|v|. So, the unit vector in the same direction as v=⟨3,4⟩ is ⟨3/5, 4/5⟩.

Step 3: The unit vector in the direction opposite to v is simply the negative of the unit vector in the same direction as v. So, the unit vector in the direction opposite to v=⟨3,4⟩ is -⟨3/5, 4/5⟩ = ⟨-3/5, -4/5⟩.

Find the unit vector in the direction opposite to v=⟨3,4⟩v=⟨3,4⟩.

Question

Solution

Similar Questions

Upgrade your grade with Knowee