It’s the second option, (x,y) —> (3x,3y) since you have to multiply each coordinate by a certain number called the scale factor (in this case, it’s 3)
The first option won’t work because the scale factor has to be same for both coordinates. The third option is a translation, and the fourth won’t work either because you have to multiply each coordinate by the same variable.
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:
300 %
Step-by-step explanation:
Length of the larger cube =4 cm
So volume 
Length of the smaller cube = 1 cm
Volume of the smaller cube 
So total number of smaller cube 
Surface area of the larger cube 
Surface area of the 64 smaller cube 
So percentage increase in surface area 
%
Answer:
1:6, 7:36, 2:9
Step-by-step explanation:
2 : 9 → 8 : 36
1 : 6 → 6 : 36
7 : 36
Least → Greatest
1:6, 7:36, 2:9
