Vector d is parallel to vector c, in the same direction and 3 times as long. a) Write d in terms of C. b) Write d as a column vector.

Question

Answer 1

To solve this problem, let's follow the steps one at a time:### Step 1: Determine Vector

First, we need to determine vector

based on the information provided. We know the line passes through points (0,6) and (3,11). The vector

can be found by subtracting the coordinates of the starting point from the coordinates of the ending point:

### Step 2: Write

in Terms of

Given that vector

is parallel to vector

, in the same direction, and 3 times as long, we can express

in terms of

as:

### Step 3: Calculate

Now, substituting the values of

into the equation for

, we get:

### Final Answer:a)

in terms of

is

.b)

as a column vector is:

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