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.
First we subtract the cost of the music CDs from her savings 1,128 - 72 = 1,056. Next Jasmine wants to know how many video games she can buy with the remainder money. 1,056 ÷ 43 = 24 (rounded). Your answer is A. 24.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
use a calculator to find 5 sqrt2
We calculate the floor area of the kitchen:
A = (22) * (16)
A = 352 feet ^ 2
We consider the following conversion:
1 foot = 12 inches.
Applying the conversion we have:
A = 352 * (12/1) ^ 2
A = 50688 in ^ 2
We calculate the area of each tile:
A = (16) * (16)
A = 256 in ^ 2
Then, the number of tiles is given by:
N = (50688) / (256)
N = 198
Answer:
He needs to buy 198 tiles
Any number race to the power zero is always 1 therefore the simplified form of p^0 is 1
