Find the Vector V That Has a Magnitude of 9 $\mathbf { u } = \langle 6 , - 5 \rangle$

question 127

Multiple Choice

Find the vector v that has a magnitude of 9 and is in the same direction as u, where $\mathbf { u } = \langle 6 , - 5 \rangle$ .

• A) \(\mathbf { v } = \left\langle \frac { 5 \sqrt { 61 } } { 61 } , - \frac { 6 \sqrt { 61 } } { 61 } \right\rangle\)
• B) \(\mathrm { v } = \left\langle \frac { 45 \sqrt { 61 } } { 61 } , - \frac { 54 \sqrt { 61 } } { 61 } \right\rangle\)
• C) \(\mathbf { v } = \left\langle \frac { \sqrt { 61 } } { 61 } , - \frac { \sqrt { 61 } } { 61 } \right\rangle\)
• D) \(\mathbf { v } = \left\langle \frac { 6 \sqrt { 61 } } { 61 } , - \frac { 5 \sqrt { 61 } } { 61 } \right\rangle\)
• E) \(\mathbf { v } = \left\langle \frac { 54 \sqrt { 61 } } { 61 } , - \frac { 45 \sqrt { 61 } } { 61 } \right\rangle\)

---

Definitions:

Per Annum

A term used to represent an annual occurrence or an amount over the course of a year.

Cashing In

The process of selling or converting a financial asset or investment for cash.

Combined Equivalent Value

The total value derived from combining several financial instruments or calculations to understand their overall effect.

Payment Stream

A sequence of payments made over a period of time as per the terms of a financial agreement.