Question 1173575
Let's break down this problem step-by-step.

**1. Find the Unit Vector in the Direction of 3i + 4j**

* The vector 3i + 4j has components <3, 4>.
* Find the magnitude of this vector: ||3i + 4j|| = √(3² + 4²) = √(9 + 16) = √25 = 5.
* The unit vector in the direction of 3i + 4j is: (3i + 4j) / 5 = <3/5, 4/5>.

**2. Find the Component Form of v**

* The magnitude of v is 2.
* The direction of v is the same as the unit vector we just found: <3/5, 4/5>.
* Multiply the magnitude of v by the unit vector to find the component form of v:
    * v = 2 * <3/5, 4/5> = <6/5, 8/5> = <1.2, 1.6>.

**3. Sketch v**

* Draw the x-y coordinate plane.
* Start at the origin (0, 0).
* Move 1.2 units along the positive x-axis.
* Move 1.6 units along the positive y-axis.
* Draw an arrow from the origin to the point (1.2, 1.6). This arrow represents the vector v.

**Component Form of v:**

v = <1.2, 1.6>