Two vectors, one 12m pointing downwards and another 30m pointing upwards, are added together. What is the magnitude and direction of the resultant vector?

To find the resultant vector, we subtract the magnitude of the downward vector from the magnitude of the upward vector because they are in opposite directions.

Step 1: Identify the magnitudes and directions of the given vectors.

• Vector 1: 12m (downwards)
• Vector 2: 30m (upwards)

Step 2: Subtract the magnitude of the downward vector from the upward vector.

• Resultant vector = Vector 2 - Vector 1
• Resultant vector = 30m - 12m
• Resultant vector = 18m

Step 3: Determine the direction of the resultant vector. Since the magnitude of the upward vector is greater than the downward vector, the resultant vector will point upwards.

So, the magnitude of the resultant vector is 18m and its direction is upwards.