Question

Integral

Answer 1

How can I prove that mathematically!

Answer 2

for perpendicular vectors, their dot product =0
you can prove this mathematically by the definition of dot product,
a dot b = |a||b|cos theta
theta = angle between them = 90

Answer 3

and so the integral becomes, \[\int\limits_{a}^{b} 0\]

Answer 4

which will give me a constant not zero, right?

Answer 5

SO:
\[\int\limits_{a}^{b} Vz . dz \]
= \[\int\limits_{a}^{b} Vzdz costheta \]

Answer 6

where cos theta= 0, and integral gives me a constant

Answer 7

indefinite integral of 0 gives you 0.

Answer 8

**definite

Answer 9

\(\int 0 dx = +c \\ \int_a^b0dx=0\)

Answer 10

ok then that makes sense, thank you =D actually thank you very much ;)

Answer 11

welcome ^_^