If m→=3i+4j+5k and n→=2i+j+7k then the evaluation of m→∙n→ is ______.
To evaluate the dot product between two vectors m→ and n→, we need to multiply their corresponding components and then add up the products.
m→∙n→ = (3i + 4j + 5k)∙(2i + j + 7k)
m→∙n→ = (3*2) + (4*1) + (5*7)
m→∙n→ = 6 + 4 + 35
m→∙n→ = 45
Therefore, the evaluation of m→∙n→ is 45.