Final answer:
To graphically determine the resultant of vector displacements, use the head-to-tail method. For scalar multiplication, multiply a vector by a scalar. The cross product and dot product are mathematical operations performed on vectors.
Step-by-step explanation:
To graphically determine the resultant of the three vector displacements, you can use the head-to-tail method. This method involves representing each displacement vector as an arrow, labeling them A, B, and C. Then, you can use the head-to-tail method to determine the magnitude and direction of the resultant displacement, denoted R.
For scalar multiplication, you can multiply a vector by a scalar to change its magnitude without changing its direction. The result will be a new vector with a different magnitude.
The cross product and dot product are mathematical operations that can be performed on vectors. The cross product results in a new vector that is orthogonal to the two original vectors, while the dot product results in a scalar value that is a measure of the similarity or dissimilarity between the two vectors.