1. The scaler product of two vector is commutative _________...

1. The scaler product of two vector is commutative __________
2. Two none zero vectors a and b are perpendicular if and only if aXb = 0.__________
3. If the volume of parallelepiped determined by a,b and e is 0 ,then the vectors must lie in the same plane __________
4. The vector $\vec{u}$ =-i-j-k and $\vec{v}$= i + j + k are parallel.__________
5. A vector $\vec{u}$ is side to be a unit vector if $|\vec{u}\| = 0$. __________
6. The area of the triangle with vertices P(2, 0, 1), Q(1, 1, 0) and R(1, 3, 2) is $\frac{1}{2}(\sqrt{24})$__________ part 11:Short answer items( 2 points each) Instruction:For the following questions, write the most simplified answer on the space provide
7. For what value B are the vectors $\vec{u}$ = -6i+3j+k and $\vec{v}$ =Bi+j+9k orthogonal. B=__________
8. let $\vec{u}$ = i-k, $\vec{v}$ = 2i-5j-9k, and $\vec{w}$ = -j + 4k Find the volume of parallelepiped determined by u,v and w =__________
9. Find the distance between the point between p(-4,5.3) and the plane 5x+3y-6z+6=0.__________
10. For what value of A will vector $\vec{u}$ = 2i+4j-5k and $\vec{v}$ = -4i-8j+ Ak be parallel. A=__________
11. Let $\vec{u}$ = 6i+7j-2k and $\vec{v}$ = 3i-2j+2k, then (a) $\vec{u}.\vec{v}$=__________ (b) $\vec{u}$X$\vec{v}$=__________ (c) The cosine of the angle between $\vec{u}$ and $\vec{v}$ is =__________ (d) The unit vector in the direction of $\vec{u}$-2$\vec{v}$=__________ (e) The vector$\vec{u}_v$=__________