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

Where are the options Explanation:...

Find the sum of the following vectors A=3i-12j

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31.01.2022

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

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

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,

$\vec{A}= vector A$

$\vec{B}= vector B$

$\vec{C}= sum of the vector A and bPut the value into the formula[tex]\vec{C}=(3i-12j)+(4i+7j)$

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

(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).

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