Find the scalar magnitude of the projection of 2i−3j+4k on i−j Express as a Cartesian vector: a→=(2,−3,4) and b→=(1,−1,0)
Final Answer: 522
Step 1 :Find the dot product of the two vectors: a→⋅b→=(2)(1)+(−3)(−1)+(4)(0)=5
Step 2 :Find the magnitude of vector b→: ||b→||=(1)2+(−1)2+(0)2=2
Step 3 :Calculate the scalar magnitude of the projection: a→⋅b→||b→||=52=522
Step 4 :Final Answer: 522