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Original
2026-01-01
Modified
2026-02-28
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<p>The following are methods of subtracting vectors:</p>
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<p>The following are methods of subtracting vectors:</p>
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<p><strong>Method 1: Graphical Method</strong></p>
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<p><strong>Method 1: Graphical Method</strong></p>
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<p>To apply the graphical method for vector subtraction, use the following steps.</p>
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<p>To apply the graphical method for vector subtraction, use the following steps.</p>
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<p><strong>Step 1:</strong>Draw the first vector using a suitable scale and direction.</p>
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<p><strong>Step 1:</strong>Draw the first vector using a suitable scale and direction.</p>
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<p><strong>Step 2:</strong>Draw the second vector in the opposite direction using the same scale.</p>
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<p><strong>Step 2:</strong>Draw the second vector in the opposite direction using the same scale.</p>
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<p><strong>Step 3:</strong>Connect the initial point of the first vector to the endpoint of the reversed second vector to find the resultant vector.</p>
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<p><strong>Step 3:</strong>Connect the initial point of the first vector to the endpoint of the reversed second vector to find the resultant vector.</p>
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<p>Example: Subtract vector w from vector v.</p>
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<p>Example: Subtract vector w from vector v.</p>
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<p><strong>Step 1:</strong>Draw v.</p>
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<p><strong>Step 1:</strong>Draw v.</p>
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<p><strong>Step 2:</strong>Reverse and draw w.</p>
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<p><strong>Step 2:</strong>Reverse and draw w.</p>
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<p><strong>Step 3:</strong>Draw the resultant vector from the start of v to the end of the reversed w.</p>
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<p><strong>Step 3:</strong>Draw the resultant vector from the start of v to the end of the reversed w.</p>
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<p><strong>Method 2: Analytical Method</strong></p>
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<p><strong>Method 2: Analytical Method</strong></p>
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<p>In the analytical method, we use vector components.</p>
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<p>In the analytical method, we use vector components.</p>
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<p>Subtract the corresponding components of the vectors to find the resultant vector.</p>
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<p>Subtract the corresponding components of the vectors to find the resultant vector.</p>
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<p>For example, Subtract w(2, -3) from v(5, 4). v(5, 4) - w(2, -3) = (5-2, 4-(-3)) = (3, 7)</p>
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<p>For example, Subtract w(2, -3) from v(5, 4). v(5, 4) - w(2, -3) = (5-2, 4-(-3)) = (3, 7)</p>
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<p>Therefore, the resultant vector is (3, 7).</p>
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<p>Therefore, the resultant vector is (3, 7).</p>
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