1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >, yes.
Answer (B) 2/3
Explanation: the multiplicative rate is the ratio of the values y(k)/y(k+1) (with k being the index). This ratio must be the same for the function to be exponential. We can take y(2)/y(1) = 4/6 = 2/3.
We can use 2/3 to verify the remaining entries:
x=3: 4*2/3 = 8/3 = y(3)
x=4: (8/3)*(2/3)=16/9=y(3)
Answer:
Basketball = 0.743
Step-by-step explanation:
Given
Tennis:
Starting Height = 200 cm
Rebound Height = 111 cm
Soccer Balls;
Starting Height = 200 cm
Rebound Height = 120 cm
Basketball:
Starting Height = 72 inches
Rebound Height = 53.5 inches
Squash:
Starting Height = 100 inches
Rebound Height = 29.5 inches
For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.
Calculating the rebound ratio of each balls.
Rebound Ratio = Rebound Height/Starting Height
Tennis: 111/200= 0.556
Soccer Balls: 120/200 = 1.667
Basketball: 53.5/72 = 0.743
Squash: 29.5/100 = 0.295
From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.
Answer:
She needs to buy 3 such containers.
Step-by-step explanation:
Mrs. Saledo wants to buy 
quarts of whipping cream.
Now, quarts = 
quarts = 
pints.
Since we know that 1 US liquid quart = 1 US liquid pints.
If the whipping cream is sold in only 1 - pint containers, then she needs to buy 3 such containers. ( Answer )
Answer:
How to make V the subject of the formula?
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.
To make 'u' the subject of the formula in v = u + at,
To make 't' the subject of the formula, v = u + at, ...
The volume of a cuboid is the product of length and breadth of the cuboid.
