Answer:
Scalar product
Step-by-step explanation:
The scalar product of a matrix refers to the product of a matrix and a number. The scalar is used to multiply each element in the matrix to get the final vector. In the question the scalar is k which is a constant and the matrix is A.
in the example below 2 is the scalar
the final matrix will be
Answer: 15.85km
Step-by-step explanation:
The car starts at the point (0,0)
Let's define east as the positive x-axis and north as the positive y-axis.
first, the car travels 10km southeast, so the angle is -45° from the east.
Then the new position of the car is:
(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)
Now, from this point the car travels 15km with an angle of 60° (counting from the east)
So the new position is:
(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km , 5.91km)
The magnitude of a vector (x, y) is √(x^2 + y^2)
So the magnitude of the vector (14.57km , 5.91km) is:
√((14.57km)^2 + (5.91km)^2) = 15.85km
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
15.07 Euro
Step-by-step explanation: