Let AB is equal to the vector a and AC be equal to the vector b.
Consider two vectors = =
= inclined at an angle
MN =
| | = | | |
The area of ΔABC, we can write the relation
Area of Δ ABC = AB =
<p><picture><img src="https://images.shiksha.com/mediadata/images/articles/1729059899phpU5fCzF.jpeg" alt="" width="186" height="157"></picture></p><p>Let AB is equal to the vector a and AC be equal to the vector b.</p><p>Consider two vectors <span title="Click to copy mathml"><math><mrow><mrow><mi mathvariant="normal">sin</mi></mrow><mo>? </mo><mrow><mi>θ</mi></mrow></mrow></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mi>C</mi><mi>N</mi></mrow></mrow><mrow><mrow><mi>A</mi><mi>C</mi></mrow></mrow></mfrac></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mi>C</mi><mi>N</mi></mrow></mrow><mrow><mrow><mfenced open="|" close="|" separators="|"><mrow><mrow><mover accent="true"><mrow><mrow><mi>B</mi></mrow></mrow><mo>? </mo></mover></mrow></mrow></mfenced></mrow></mrow></mfrac></math></span></p><p><span title="Click to copy mathml"><math><mover accent="true"><mrow><mrow><mi>A</mi><mi>C</mi></mrow></mrow><mo>? </mo></mover></math></span> = <span title="Click to copy mathml"><math><mover accent="true"><mrow><mrow><mi>b</mi></mrow></mrow><mo>? </mo></mover></math></span> inclined at an angle <span title="Click to copy mathml"><math><mi>θ</mi></math></span></p><p>MN = <span title="Click to copy mathml"><math><mover accent="true"><mrow><mrow><mi>b</mi></mrow></mrow><mo>? </mo></mover><mrow><mrow><mi mathvariant="normal">sin</mi></mrow><mo>? </mo><mrow><mi>θ</mi></mrow></mrow></math></span></p><p>| <span title="Click to copy mathml"><math><mover accent="true"><mrow><mrow><mi>a</mi></mrow></mrow><mo>? </mo></mover></math></span> <span title="Click to copy mathml"><math><mo>×</mo><mi></mi><mover accent="true"><mrow><mrow><mi>b</mi></mrow></mrow><mo>? </mo></mover></math></span> | = | <span title="Click to copy mathml"><math><mover accent="true"><mrow><mrow><mi>a</mi></mrow></mrow><mo>? </mo></mover></math></span> | | <span title="Click to copy mathml"><math><mi></mi><mover accent="true"><mrow><mrow><mi>b</mi></mrow></mrow><mo>? </mo></mover><mo>|</mo><mrow><mrow><mi mathvariant="normal">sin</mi></mrow><mo>? </mo><mrow><mi>θ</mi></mrow></mrow><mo>=</mo><mi>A</mi><mi>B</mi><mi></mi><mo>×</mo><mi>A</mi><mi>C</mi></math></span></p><p>The area of ΔABC, we can write the relation</p><p>Area of Δ ABC = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>1</mn></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></mfrac></math></span> AB <span title="Click to copy mathml"><math><mo>×</mo><mi>A</mi><mi>C</mi></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>1</mn></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></mfrac><mfenced open=" [" close="]" separators="|"><mrow><mrow><mover accent="true"><mrow><mrow><mi>a</mi></mrow></mrow><mo>? </mo></mover><mo>×</mo><mi></mi><mover accent="true"><mrow><mrow><mi>b</mi></mrow></mrow><mo>? </mo></mover></mrow></mrow></mfenced></math></span></p>
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in 16 seconds. The angular acceleration in 