Vector addition is done by addition of the components
The value of a is -1
a = –1
Reason:
The given parameters are;
q = <-4, 1>
r = <a, 3>
7·(q + r) = <-35, 28>
Required:
The value of a
Solution;
By vector addition of the components of q, and r, we have;
- q + r = <-4 + a, 1 + 3> = <-4 + a, 4>
q + r = <(-4 + a), 4>
By plugging in the value of q + r from the above step, we have;
- 7·(q + r) = <7 ×(-4 + a), 7 × 4> distribution property
7·(q + r) = <-35, 28> Given
Therefore, by comparison of components, we have;
7 ×(-4 + a) = -35
- [tex]-4 + a = -\dfrac{35}{7} = -5[/tex]
a = -5 + 4 = -1
a = –1
The correct option for the value of a is –1
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