NCERT Example 30 - Vector Algebra
Question: Let alpha = 3 i-hat - j-hat and beta = 2 i-hat + j-hat - 3 k-hat. Express beta = beta_1 + beta_2 with beta_1 parallel to alpha and beta_2 perpendicular to alpha.
Answer: beta_1 = (3/2)i-hat - (1/2)j-hat; beta_2 = (1/2)i-hat + (3/2)j-hat - 3 k-hat.
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