Let A = (6, -2, 4). Find two vectors C and D which are parallel to A.
To find vectors C and D that are parallel to vector A, we can simply multiply vector A by a scalar.
Let's take vector C = 2A.
C = 2 * (6, -2, 4)
C = (12, -4, 8)
Now let's take vector D = -3A.
D = -3 * (6, -2, 4)
D = (-18, 6, -12)
Therefore, vectors C = (12, -4, 8) and D = (-18, 6, -12) are parallel to vector A = (6, -2, 4).
To find two vectors parallel to vector A, we can multiply vector A by any non-zero scalar value. Let's call the non-zero scalar value "k".
1. Vector C:
We can choose any value for "k". Let's choose k = 2.
Vector C = k * A = 2 * (6, -2, 4) = (12, -4, 8).
2. Vector D:
Once again, we can choose any value for "k". This time, let's choose k = -3.
Vector D = k * A = -3 * (6, -2, 4) = (-18, 6, -12).
Therefore, vector C = (12, -4, 8) and vector D = (-18, 6, -12) are two vectors that are parallel to vector A = (6, -2, 4).