Example 31 (Supplementary NCERT) - Chapter 10 Class 12 Vector Algebra

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Example 31 (Supplementary NCERT) - Prove [a b c+d] = [a b c] + [a b d]

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Example 31 (Supplementary NCERT) Prove that [š‘Ž āƒ—, š‘ āƒ—, š‘ āƒ—+š‘‘ āƒ— ] = [š‘Ž āƒ—, š‘ āƒ—, š‘ āƒ— ] + [š‘Ž āƒ—, š‘ āƒ—, š‘‘ āƒ— ]Solving LHS [š‘Ž āƒ—, š‘ āƒ—, š‘ āƒ—+š‘‘ āƒ— ] = š‘Ž āƒ— . ["(" š‘ āƒ—") " Ɨ "(" š‘ āƒ—+š‘‘ āƒ—)] = š‘Ž āƒ— .["(" š’ƒ āƒ— Ɨ š’„ āƒ—") + (" š’ƒ āƒ— Ɨ š’… āƒ—) ] = š‘Ž āƒ— .["(" š‘ āƒ— Ɨ š‘ āƒ—")" ] + š‘Ž āƒ— .["(" š‘ āƒ— Ɨ š‘‘ āƒ—)] = [š‘Ž āƒ—", " š‘ āƒ—", " š‘ āƒ— ] + [š’‚ āƒ—", " š’ƒ āƒ—", " š’… āƒ— ] = RHS Hence proved

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