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Ivan
4 years ago
9

Determine the cross product of x times y when x= 4i-5j+3k and y= -2i+3j-k

Mathematics
1 answer:
algol [13]4 years ago
7 0
\mathbf x\times\mathbf y=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&-5&3\\-2&3&-1\end{vmatrix}
\mathbf x\times\mathbf y=\begin{vmatrix}-5&3\\3&-1\end{vmatrix}\mathbf i-\begin{vmatrix}4&3\\-2&-1\end{vmatrix}\mathbf j+\begin{vmatrix}4&-5\\-2&3\end{vmatrix}\mathbf k
\mathbf x\times\mathbf y=-4\,\mathbf i-2\,\mathbf j+2\,\mathbf k
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What is the distance between (7,-2) and (3,1)
ale4655 [162]

Answer:

Distance = 5

Step-by-step explanation:

x2 = 3

y2 = 1

x1 = 7

y1 = -2

=> d = Square root of (3 - 7)^2 + (1 + 2)^2

=> d = Square root of (-4)^2 + (3)^2

=> d = Square root of 16 + 9

= d = Square root of 25

d = 5

4 0
3 years ago
3 gallon of milk at $3.69 per gallon
Sonbull [250]
11.07 just do 4.69x 3
5 0
3 years ago
Read 2 more answers
two sides of a triangle measure to 20cm and 30cm. Which of the following could be measure by the third side
gizmo_the_mogwai [7]

Answer: With no choices given here, here are a few possibilities.

If it is not a right triangle, the third side could be any number less than 50 cm

If it is a right triangle, the third side could be the hypotenuse, which would be 10√13 or about 36.05 cm.

If 30cm is the hypotenuse, the other side would be 10√5 or about 22.36 cm

Step-by-step explanation: If the two given sides add up to 50, they flatten out to a straight line, equal to the third side, so it is no longer a triangle. The third side must be less than the sum of the other two sides.

We can use the Pythagorean Theorem a² + b² = c² to calculate the lengths of the sides of a right triangle.

For example

20² + 30² = c²

400 + 900 = c²

1300 = c²

√1300 = √(100)(13) = √c²

10√13 = c ≈ 36.05

5 0
3 years ago
Choose the system of equations which matches the following graph: (5 points) a line includes points 0 comma 0 and negative 1 com
IrinaK [193]
(0,0),(-1,2)
slope = (2 - 0) / (-1 - 0) = - 2/1 = -2

so this equation, since it goes thru the origin, is : y = -2x or 2x + y = 0

(2,3),(1,-2)
slope = (-2 - 3) / (1 - 2) = -5/-1 = 5

y = mx + b
slope(m) = 5
(2,3)...x = 2 and y = 3
now sub into the formula and find b, the y int
3 = 5(2) + b
3 = 10 + b
3 - 10 = b
-7 = b
so this equation is : y = 5x - 7 or 5x - y = 7

so ur 2 equations are :
2x + y = 0
5x - y = 7

5 0
3 years ago
Help i dont get it pelase
sveta [45]

Step-by-step explanation:

(-1,3)

just move the point over 5 lines and then up 4 lines. or

4-5 = -1

-1 +4=3

6 0
3 years ago
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