the value of v.w= -12.
we are given three vector r,v and w as:
r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>
we know that r,v and w could also be represented as:
and w= -2i+6j-5k
where i,j and k are the unit vectors of x,y and z-axis respectively.
also we know that it has the following property:
i.i=1 ; j.j=1; k.k=1
i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.
hence, v.w= (2i-8j- -2i+6j-5k)
hence, v.w= -12
yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled
the answer to that one is b