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:
I am pretty sure we are all tired but here is your answer 195
Step-by-step explanation:
The lengths of a right triangle's three sides can be expressed as 24, 32, and 40.
Let's work our way through the solution. According to the right triangle formula, a triangle's hypotenuse square equals the sum of its base square and its altitude square.
How to determine a right triangle's sides?
If leg an is absent, change the equation to its form when leg an is present on one side and compute the square root: a = (c2 - b2).
Leg b must be unknown otherwise. b = √(c² - a²)
The equation for hypotenuse c is: c = (a2 + b2)
to learn more about right triangle's sides refer to:
brainly.com/question/3223211
#SPJ13
Answer:
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
hyp = 26
opp = e = ?
Plug in the values into the formula
Multiply both sides by 26
Since side e is of the same length with side f, therefore, the length of side f = 
Answer:
Step-by-step explanation:
implify the radical by breaking the radicand up into a product of known factors.
3
x
4
√
14
y
5
32
