Find the Vector $\mathbf { z }$ , Given $\mathbf { u } = \langle - 4,9,8 \rangle , \mathbf { v } = \langle 5,4,4 \rangle$

question 88

Multiple Choice

Find the vector $\mathbf { z }$ , given $\mathbf { u } = \langle - 4,9,8 \rangle , \mathbf { v } = \langle 5,4,4 \rangle$ , and $\mathbf { w } = \langle - 3,23,4 \rangle$ .
$3 \mathbf { u } - \mathbf { v } + 2 \mathbf { z } = \mathbf { w }$

• A) \(\langle 14,0 , - 16 \rangle\)
• B) \(\langle 0,7 , - 8 \rangle\)
• C) \(\langle - 7,0 , - 8 \rangle\)
• D) \(\langle 7,0 , - 8 \rangle\)
• E) \(\langle 8,0 , - 7 \rangle\)

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Definitions:

Femur

The longest and strongest bone in the human body, located in the thigh, connecting the hip to the knee.

Movable Synovial Joint

A movable synovial joint is a type of joint in the body enclosed by a fluid-filled synovial capsule, facilitating a wide range of movements between bones.

Fibrous Joint

Type of joint between two bones that is immovable; sutures are examples of fibrous joints.

Knee

A joint that connects the thigh bone (femur) to the shin bone (tibia), allowing for flexion, extension, and minimal rotation of the leg.