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:
x= 2 and y= -1
Step-by-step explanation:
x=7 +5y
14+16y=−2
y=−1
Substitute y=-1y=−1 into x=7+5yx=7+5y.
x=2
Exact Form: 55/8
Decimal: 6.875
Mixed Number: 6 7/8
Answer:
$4.42!
Step-by-step explanation:
Just add all the prices together then divide by 2!
$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84
$8.84 ÷ 2 = $4.42!
Answer:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Step-by-step explanation:
Here, the money earned for each road David shovels = $15
The number of driveway shoveled by David = 12
The total money saved David has after he is done with his work = $243
Now, The number of money saved by shoving 12 driveways
= 12 x ( Money earned by shoveling 1 driveway)
= 12 x ( $15) = $ 180
Total savings = His previous savings + Money earned from Shovel work
⇒ $243 = His previous savings + $ 180
⇒ His previous savings = $243 - $180 = $63
Now, we can write his total savings as:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
