Find the area of a parallelogram whose adjacent sides are given by the vectors ` vec a=3 hat i+ hat j+4 hat k`and ` vec b= hat i- hat j+ hat k`.

Answer

D

Explanation

`int_(p+m alpha)^(q+n alpha) g(t)dt=int_(p+m alpha)^(p)g(x)dx+int_(p)^(q)g(x)dx+int_(q)^(q+n alpha) g(x)dx`
`=-m/2 int_(0)^(2 alpha) g(x)dx+int_(p)^(q)g(x)dx+n/2 int_(0)^(2alpha) g(x)dx`
`=int_(p)^(q)g(x)dx+((n-m)/2)int_(0)^(2alpha) g(x)dx`