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CBSE Class 12-science Answered

maths
Asked by durgaprasaddurgaprasad174 | 01 Jul, 2022, 05:05: PM
Expert Answer
Let l, m and n be the direction cosines of a vector
rightwards double arrow straight l equals cosα comma space straight m equals cosα space and space straight n equals cos 90 to the power of straight o rightwards double arrow straight n equals 0 We space know space that comma space straight l squared plus straight m squared plus straight n squared equals 1 rightwards double arrow cos squared straight alpha plus cos squared straight alpha plus 0 equals 1 rightwards double arrow 2 cos squared straight alpha equals 1 rightwards double arrow cos squared straight alpha equals 1 half rightwards double arrow cosα equals plus-or-minus fraction numerator 1 over denominator square root of 2 end fraction rightwards double arrow straight alpha equals cos to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses space space or space space straight alpha equals cos to the power of negative 1 end exponent open parentheses negative fraction numerator 1 over denominator square root of 2 end fraction close parentheses rightwards double arrow straight alpha equals 45 to the power of straight o space space or space straight alpha equals 135 to the power of straight o
Answered by Renu Varma | 04 Jul, 2022, 11:10: AM

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CBSE 12-science - Maths
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