Find the Vector Projv U $\frac { 54 } { 121 } \mathbf { i } + \frac { 12 } { 121 } \mathbf { j } + \frac { 36 } { 121 } \mathbf { k }$

question 17

Multiple Choice

Find the vector projv u.
-v = k, u = 9i + 2j + 6k

• A) \(\frac { 54 } { 121 } \mathbf { i } + \frac { 12 } { 121 } \mathbf { j } + \frac { 36 } { 121 } \mathbf { k }\)
• B) \(\frac { 54 } { 11 } \mathbf { i } + \frac { 12 } { 11 } \mathbf { j } + \frac { 36 } { 11 } \mathbf { k }\)
• C) \(\frac { 6 } { 121 } \mathbf { k }\)
• D) \(6 \mathbf { k }\)

---

Definitions:

Jungle Gym

A structure of metal bars or ropes for children to climb on, typically found in playgrounds, which helps develop physical coordination.

Longitudinal Design

A research design that involves repeated observations of the same variables (e.g., people) over short or long periods of time to assess changes or developments.

Cross-Sectional

A type of observational study that analyzes data from a population, or a representative subset, at a specific point in time.

Fluid Intelligence

The ability to think logically and solve problems in novel situations, independent of acquired knowledge.