Common Core · High school
HSN-VM.B.4.B
High school — Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
A note on this mapping: HSN-VM.B.4.B is a (+) standard — beyond the college- and career-ready threshold, i.e. precalculus rather than Algebra II.
The skill that covers it
What a student should be able to do
- Compute the dot product of two vectors and use it to find the angle between them.
- Decide whether two vectors are orthogonal, and find the value that makes them so.
- Find the projection of one vector onto another, and the work done by a force along a displacement.
- Find the magnitude and direction of a resultant force or velocity, including a plane in a wind and a boat in a current.