Problem

Find the scalar magnitude of the projection of 2i3j+4k on ij Express as a Cartesian vector: a=(2,3,4) and b=(1,1,0)

Answer

Expert–verified
Hide Steps
Answer

Final Answer: 522

Steps

Step 1 :Find the dot product of the two vectors: ab=(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: ab||b||=52=522

Step 4 :Final Answer: 522

link_gpt