Decompose V into Two Vectors V1 and V2, Where V1 $$\mathbf { v } = \mathbf { i } + 7 \mathbf { j } , \mathbf { w } = \mathbf { i } + \mathbf { j }$$

question 11

Multiple Choice

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.
- $$\mathbf { v } = \mathbf { i } + 7 \mathbf { j } , \mathbf { w } = \mathbf { i } + \mathbf { j }$$

• A) \(\mathbf { v } _ { 1 } = 4 ( \mathbf { i } + \mathbf { j } ) , \mathbf { v } _ { 2 } = - 3 \mathbf { i } + 3 \mathbf { j }\)
• B) \(\mathbf { v } _ { 1 } = \frac { 9 } { 2 } ( \mathbf { i } + \mathbf { j } ) , \mathbf { v } _ { 2 } = - \frac { 7 } { 2 } \mathbf { i } + \frac { 5 } { 2 } \mathbf { j }\)
• C) \(\mathbf { v } _ { 1 } = 4 ( \mathbf { i } + \mathbf { j } ) , \mathbf { v } _ { 2 } = 3 \mathbf { i } - 3 \mathbf { j }\)
• D) \(\mathbf { v } _ { 1 } = 8 ( \mathbf { i } + \mathbf { j } ) , \mathbf { v } _ { 2 } = - 6 \mathbf { i } + 6 \mathbf { j }\)

---

Definitions:

Unit Costs

The cost incurred by a company to produce, store, and sell one unit of a particular product or service.

Raw Materials Inventory

The stock of unprocessed materials that are used in manufacturing to produce goods, representing a current asset on the balance sheet.

Materials Requisitioned

The process and documentation involved in requesting and withdrawing materials from the inventory for use in production.

Job Order Costing

An accounting method used to assign costs to specific jobs or batches, ideal for manufacturing processes or services that are distinct or custom.