Photorespiration is when plants take in oxygen and light and release carbon dioxide. Contrary to photosynthesis. C3 plants have no system to minimize photorespiration, C4 plants minimize photoresperiation by separating the initial CO2 fixations and the Calvin cycle to be performed in different types of cells. CAM plants minimize photorespiration by taking CO2 by opening their stomata at night and then keeping the stomata closed during the day while they do photosynthesis.
It’s b you better pick b because it’s b
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
The correct answer is B. The pickup truck is moving at 4 m/s and the school bus is moving at 2 m/s.
Explanation:
The kinetic energy is related to how fast a body moves (speed), as well as, the amount of matter in the object (mass). Due to this, even if the bus and the truck move at the same speed they do not have the same kinetic energy. Indeed, the graph shows in general the kinetic energy is higher for the school bus.
However, this does not occur if the truck moves at 4 m/s and the bus moves at 2m/s because, at this speed, the kinetic energy of the truck is 30 kilojoules, while the kinetic energy of the bus is around 15 kilojoules, which is lower. According to this, the correct answer is B.
