Vector Operations in R 3 Section 6.7

Standard Unit Vectors in R 3 The standard unit vectors, i(1,0,0), j(0,1,0) and k(0,0,1) can be used to form any other 3D vector. Try: Re-write the vector a(4, -5, -12) as a linear combination of i,j and k:

Calculating Magnitude in three dimensions Try: Write an expression for the magnitude of vector P:

Finding the Magnitude of Vectors in R 3 Determine the magnitude of the following vectors:

Problem Solving:

Summary: How do you find the distance between the point (x 1, y 1, z 1 ) and (x 2, y 2, z 2 )? How do you find the vector between A(x 1, y 1, z 1 ) and B(x 2, y 2, z 2 ) Practice: Pg. 332, #3, 5, 7, 10, 14, 15