Answer:
<h2><em>
5i+14j-7k</em></h2>
Step-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
<em>3u - v = 5i+14j-7k</em>
<em>Hence the simplified form of the expression is 5i+14j-7k</em>
Answer:
how to find it out
Step-by-step explanation:
on the line that starts at x=-6 and ends at x=6.Find the spot where the y value is the highest
Answer:
1:4; C
Step-by-step explanation:
If you roll two cubes, they have 6 sides meaning 6 is the highest number. That's 2 more then 4 so I will subtract to two from each which makes it certain I will roll two dice less then 4. Removing two from each is 4 ergo the answer is 1:4
The legs of the triangle are 6.91 feet, 7.9 feet, and 10.5 feet.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7.
Let x be one leg and y be another leg. Then we have
x/y = 8/7
y = 7x/8
Then the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet will be
10.5² = x² + (7x/8)²
110.25 = x² + 49x²/64
110.25 = 113x²/64
x² = 62.44
x = 7.902
x ≅ 7.9 feet
Then the other leg will be
y = 7.9 x 7 / 8
y = 6.91
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
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