Vector Operation Problem Solving

Given vector u<-1,3,5> and v<3,y,z>, how much is y and z so the vectors are orthogonal

• y=3,and z=-1

• y=-6,and z=3

• y=6,and z=-3

• both y=3,and z=-1 or y=6,and z=-3

In practice B of the figure, what is the magnitude of the resultant?

• 30 km

• 70 km

• 10 km

• 50 km

Has magnitude and direction

• Scalar

• Vector

• Initial Point

• Terminal Point

Two vectors that have the same magnitude and direction

• Parallel vectors

• Equivalent vectors

• Opposite vectors

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4, 3>
• <4, -3>
• 5
• <6, 17>

Find the component form of a vector whose magnitude is 10 and direction is 150°.

• <10, 150>
• <-8.66, 5>
• <6.99 , -7.14>
• 10i + 150j

The solution of the dot product is always a vector

• True
• False

u + v

• 4i - j

• 6i + j

• 3j + 4j

• i + 6j

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Find the magnitude of the vector <2, -3>.

• √11
• 13
• √-4
• √13