Solve the Problem $\frac { 1 } { \sqrt { 6 } } ( \mathbf { i } - 2 \mathbf { j } - 2 \mathbf { k } )$

question 8

Multiple Choice

Solve the problem.
-Find a unit vector perpendicular to plane PQR determined by the points P(2, 1, 3) , Q(1, 1, 2) and R(2, 2, 1) .

• A) \(\frac { 1 } { \sqrt { 6 } } ( \mathbf { i } - 2 \mathbf { j } - 2 \mathbf { k } )\)
• B) \(\frac { 1 } { \sqrt { 6 } } ( \mathbf { i } - 2 \mathbf { j } - \mathbf { k } )\)
• C) \(\frac { 1 } { \sqrt { 6 } } ( \mathbf { i } - 2 \mathrm { j } + \mathbf { k } )\)
• D) \(\frac { 1 } { \sqrt { 6 } } ( - \mathbf { i } - 2 \mathbf { j } - \mathbf { k } )\)

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Definitions:

Dual-Sex Principle

The concept that societies recognize and incorporate both masculine and feminine perspectives and roles, acknowledging the importance and balance of both genders in cultural and social practices.

Political And Religious Leaders

Individuals who hold positions of power and authority in political and religious institutions, guiding and influencing policies, beliefs, and practices.

Masculine and Feminine Side

Refers to the traditional qualities or attributes thought to be characteristic of men (masculine) and women (feminine), including behavioral, cultural, or psychological traits.