Find a Unit Vector Orthogonal To $3 \mathbf { i } + 2 \mathbf { j }$

question 13

Multiple Choice

Find a unit vector orthogonal to $3 \mathbf { i } + 2 \mathbf { j }$ and $\mathbf { j } + 5 \mathbf { k }$ .

• A) \(10 \mathbf { i } - 15 \mathbf { j } + 3 \mathbf { k }\)
• B) \(\frac { 10 } { \sqrt { 334 } } \mathbf { i } - \frac { 15 } { \sqrt { 334 } } \mathbf { j } + \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)
• C) \(10 \mathbf { i } + 15 \mathbf { j } + 3 \mathbf { k }\)
• D) \(- \frac { 10 } { \sqrt { 334 } } \mathbf { i } + \frac { 15 } { \sqrt { 334 } } \mathbf { j } - \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)
• E) \(\frac { 10 } { \sqrt { 334 } } \mathbf { i } + \frac { 15 } { \sqrt { 334 } } \mathbf { j } + \frac { 3 } { \sqrt { 334 } } \mathbf { k }\)

---

Definitions:

Publishers Clearing House

A direct marketing company known for its magazine subscriptions and sweepstakes.

Intuitive Judgment

The ability to understand or know something directly without analytic reasoning, bridging the gap between the unconscious and conscious parts of the mind.

Vaccine

A biological preparation that provides active acquired immunity to a particular infectious disease, often containing agents resembling the disease-causing microorganism.

Deck Of Cards

A set of cards used for playing games, typically consisting of 52 cards divided into four suits.