Question

If a is equal to two ICAP + 2 J cap b is equal to 3 ICAP - 2 J cap and C is equal to 6 ICAP - 2 k cap then what would be the value of a minus 2 b + 3 C

Answer 1

The value of 2b+3C is

24 icap-4 j cap-6 k cap

Answer 2

Answer:

a - 2 b + 3 c =  13 i + 6 j - 6 k

Explanation:

Given that

a= i +2 j

b = 3 i -2 j

c= 6 i - 2 k

a - 2 b + 3 c= ?

Lets take R= a - 2 b + 3 c

R= (i +2 j ) - 2 (3 i -2 j) + 3(6 i - 2 k)

R=  (i +2 j ) - 6 i + 4 j + 18 i - 6 k

R= (i +2 j ) -  (6 i -4 j) + (18 i - 6 k)

R= i (1 - 6 +18) +j( 2 + 4 ) - 6 k

R = 13 i + 6 j - 6 k

a - 2 b + 3 c =  13 i + 6 j - 6 k

So we can say that a - 2 b + 3 c is equal to the 13 i + 6 j - 6 k.