Determine whether each of the following sets are subspaces of r3 under the operations of addition and scalar multiplication defined on r3. justify your answers
w1={(a1,a2,a3)∈r3: a1=3a2 and a3=−a2}

its a straight line parallel to the time axis

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation: