Question : What is the numerical value of the vector 3i+4j+5k?
a) 3√2
b) 5√2
c) 7√2
d) 9√2
Doubt by Avani
Solution :
The numerical value of a vector means the magnitude of a vector.
Let A = 3i+4j+5k
A = √[(3)²+(4)²+(5)²]
A = √[9+16+25]
A = √[50]
A = √[2×25]
A = 5√2
Hence, b) 5√2 would be the correct option.