Find a Nonzero Vector Orthogonal to the Plane Through the Points

question 43

Multiple Choice

Find a nonzero vector orthogonal to the plane through the points $P , Q$ , and $R$ .
$$P ( 1,0,0 ) , Q ( 7,8,0 ) , R ( 0,8,1 )$$

• A) \(\mathbf { i } - 7 \mathbf { j } + 8 \mathbf { k }\)
• B) \(- 7 \mathbf { i } + \mathbf { j } + 8 \mathbf { k }\)
• C) \(\mathbf { i } - 8 \mathbf { j } + 7 \mathbf { k }\)
• D) \(8 \mathbf { i } - 6 \mathbf { j } + 56 \mathbf { k }\)
• E) None of these

---

Definitions:

Kinetic Energy

The energy that an object possesses due to its motion, directly proportional to the mass of the object and the square of its velocity.

Substrate

A surface or material on or from which an organism lives, grows, or obtains its nourishment.

Phosphate Group

A functional group consisting of a phosphorus atom bonded to four oxygen atoms, important in energy transfer.

ATP

Adenosine Triphosphate, an organic compound that provides energy to drive many processes in living cells, including muscle contraction, nerve impulse propagation, and chemical synthesis.