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Question

দুটি সমমানের ভেক্টর একটি বিন্দুতে ক্রিয়াশীল। এদের লব্ধির মান যে কোন একটি ভেক্টরের মানের সমান হলে মধ্যবর্তী কোণ কত?

0 °

45 °

90 °

120 °

ANSWER : 4

Descrption

<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><msqrt><msup><mi>p</mi><mn>2</mn></msup><mo>+</mo><msup><mi>p</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>p</mi><mn>2</mn></msup><mi>cos</mi><mi>α</mi></msqrt><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mo>&nbsp;</mo><mfenced open="[" close="]"><mrow><mi>p</mi><mo>=</mo><mi>q</mi><mo>=</mo><mi>r</mi></mrow></mfenced><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><mi>p</mi><mo>=</mo><msqrt><mn>2</mn><msup><mi>p</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><msup><mi>p</mi><mn>2</mn></msup><mi>cos</mi><mi>α</mi></msqrt><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><msup><mi>p</mi><mn>2</mn></msup><mo>=</mo><mn>2</mn><msup><mi>p</mi><mn>2</mn></msup><mo>(</mo><mn>1</mn><mo>+</mo><mi>cos</mi><mi>α</mi><mo>)</mo><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><mo>(</mo><mn>1</mn><mo>+</mo><mi>cos</mi><mi>α</mi><mo>)</mo><mo>=</mo><mfrac><msup><mi>p</mi><mn>2</mn></msup><mrow><mn>2</mn><msup><mi>p</mi><mn>2</mn></msup></mrow></mfrac><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><mi>cos</mi><mi>α</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>-</mo><mn>1</mn><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><mi>cos</mi><mi>α</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mspace linebreak="newline">&nbsp;</mspace><mo>→</mo><mi>α</mi><mo>=</mo><mn>120</mn><mspace linebreak="newline">&nbsp;</mspace></math></p>

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