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Ex 10.2, 11 - Show that 2i - 3j + 4k, 4i + 6j - 8k are collinear - Ex 10.2

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Ex 10.2, 11 Show that the vectors 2 𝑖﷯ − 3 𝑗﷯ + 4 𝑘﷯ and − 4 𝑖﷯ + 6 𝑗﷯ − 8 𝑘﷯ are collinear. Magnitude of 𝑎﷯ = ﷮22+ −3﷯2+42﷯ 𝑎﷯﷯ = ﷮4+9+16﷯ = ﷮29﷯ Directions cosines of 𝑎﷯ = 2﷮ ﷮29﷯﷯, −3﷮ ﷮29﷯﷯, 4﷮ ﷮29﷯﷯﷯ Hence, Direction cosines of 𝒂﷯ = (−1) × Direction cosines of 𝒃﷯ ∴ They have opposite directions Since 𝑎﷯ and 𝑏﷯ are parallel to the same line 𝑚﷯, they are collinear. Hence proved

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