If u= (u1,u2,u3) andv= (v1,v2,v3), then the dot product of u and v is u·v=u1v1+u2v2+u3v3. For instance, the dot product of u=i−2j−3kandv= 2j−kisu·v= 1·0 + (−2)·2 + (−3)(−1) =−1.
Properties of the Dot Product.
Let u,v, and w be three vectors and let c be a real number. Then u·v=v·u,(u+v)·w=u·w+v·w,(cu)·v=c(u·v).
Further, u·u=|u|2.
Thus, if u=0is the zerovector, then u·u= 0, and otherwise u·u>0.1
Orthogonality Two vectors u and v are said to be orthogonal(perpendicular), if the angle between them is 90◦.Theorem. Two vectors u and v are orthogonal if and only if u·v= 0.
Answ
Step-by-step explanation:
Two point slope =-(-6+6)/(6-2) =0
Equation is y+6 = 0(x-2)
y+6=0
y=-6
The point is -6 at y axis which is a horizontal line.
Answer:
-2 - 8i
Step-by-step explanation:
To find the conjugate of a complex number, change the sign of the imaginary part.
The conjugate of -2 + 8i is -2 - 8i.
