Three vectors a, b, and c are related to one another such that 2a + 3b = 18c. a fourth vector d exists such that 6c + d = a. determine an expression for d in terms of the vectors a and b.

we are given equations of vectors as

now, we want to find an expression for d in terms of the vectors a and  b

so, we can eliminate c from second equation

so, we will solve for c from first equation

divide both sides by 18

we get

now, we can plug this in second equation

we can simplify it

..............Answer

isi

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