Decompose V into Two Vectors V1 and V2, Where V1 $$\mathbf { v } = - 3 \mathbf { i } - 5 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - \mathbf { j }$$

question 237

Multiple Choice

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.
- $$\mathbf { v } = - 3 \mathbf { i } - 5 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - \mathbf { j }$$

• A) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathbf { i } - \frac { 1 } { 5 } \mathrm { j } , \mathbf { v } _ { 2 } = \frac { 7 } { 5 } \mathbf { i } - \frac { 14 } { 5 } \mathbf { j }\)
• B) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathbf { i } - \frac { 1 } { 5 } \mathbf { j } , \mathbf { v } _ { 2 } = - \frac { 14 } { 5 } \mathbf { i } - \frac { 24 } { 5 } \mathrm { j }\)
• C) \(\mathbf { v } _ { 1 } = - \frac { 1 } { 2 } \mathbf { i } - \frac { 1 } { 4 } \mathbf { j } , \mathbf { v } _ { 2 } = - \frac { 5 } { 2 } \mathbf { i } - \frac { 19 } { 4 } \mathbf { j }\)
• D) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathrm { i } - \frac { 1 } { 5 } \mathbf { j } , \mathbf { v } _ { 2 } = - \frac { 13 } { 5 } \mathbf { i } - \frac { 24 } { 5 } \mathrm { j }\)

Understand the programmability and flexibility of input functions in VFD applications.

Understand the benefits and principles of VFD (Variable Frequency Drive) technology and its impact on motor operation.

Identify the types of motors that are compatible with VFDs and their characteristics.

Describe the significance of the affinity laws in relation to pump and fan operation.

---

Definitions:

Food Warehouse

A large storage facility used to store, manage, and distribute food products to retailers, wholesalers, or directly to consumers.

Inventory

The quantity of goods that a company holds for the purpose of future sale or use.

Direct Marketing

A method of marketing that involves direct communication with potential customers through various means, such as mail, email, or phone, without the intermediation of third parties.

Customized

Tailored specifically to meet the individual needs or preferences of a customer or user.