Question

Find the sum of the following vectors A=3i-12j and B=4i+7j

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Answer 1

(I). The sum of the vectors is (7i-5j).

(II). The sum of the vectors is (8i+7j).

Step-by-step explanation:

Given that,

(I). Vector A
`A=3i-12j`

Vector B
`B=4i+7j`

Suppose, (II). Vector A
`A=6i+15j`

Vector B
`B=2i-8j`

(I). We need to calculate the sum of the vectors

Using formula of sum

`\vec{C}=\vec{A}+\vec{B}`

Where,

`\vec{A}= vector A`

`\vec{B}= vector B`

`\vec{C}= sum of the vector A and b</p><p>Put the value into the formula</p><p>[tex]\vec{C}=(3i-12j)+(4i+7j)`

`\vec{C}=7i-5j`

(II). We need to calculate the sum of the vectors

Using formula of sum

`\vec{C}=\vec{A}+\vec{B}`

Put the value into the formula

`\vec{C}=(6i+15j)+(2i-8j)`

`\vec{C}=8i+7j`

Hence, The sum of the vectors is (7i-5j).

The sum of the vectors is (8i+7j).