Given vectors a = <9, 9> and b = <–4, 7>, find 3a − 2b.

35i+13j

Step-by-step explanation:

Vector a = 9i+9j

Vector b = -4i+7j

We need to find the value of 3a-2b.

3a = 3(9i+9j) = 27i+27j

2b = 2(-4i+7j) = -8i+14j

3a-2b = 27i+27j-(-8i+14j)

= 27i+27j+8i-14j

= 35i+13j

Hence, the required vector is equal to 35i+13j.

2

step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents