Answer the following questions related to unit vectors.
MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
Answer the following questions related to unit vectors.
(i) State what is meant by a unit vector in three–dimensional space.
(ii) For the vector a=3i^−4j^+12k^, calculate its magnitude ∣a∣.
(iii) Determine the unit vector in the direction of a and verify that its magnitude is 1.