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Section Formula

Given that th...

Question

Given that the vectors $¯ a, ¯ b, ¯ c$ form a base, find the sum of co-ordinates of the vector:
$2 ¯ u - 3 ¯ v + 4 ¯ w$ if $¯ u = 2 ¯ b + 3 ¯ c, ¯ v = - 2 ¯ a + ¯ c, ¯ w = ¯ a - ¯ b + ¯ c$

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Solution

The correct option is B 17

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Similar questions

¯ a, ¯ b, ¯ c

3 ¯ u - ¯ v + ¯ w

¯ u = ¯ a + ¯ c, ¯ v = ¯ b + ¯ c, ¯ w = ¯ a - ¯ b

¯ a, ¯ b, ¯ c

3 ¯ a + ¯ b + ¯ c, 2 ¯ a + 2 ¯ b + 3 ¯ c, ¯ a + 3 ¯ b + 5 ¯ c

¯ a

¯ b

¯ c

2 (¯ a \times ¯ b) + ¯ c = ¯ b \times ¯ c

∣ ∣ (¯ a \times ¯ c) . ¯ b ∣ ∣

¯ a, ¯ b, ¯ c

| ¯ a | = 5, ∣ ∣ ¯ b ∣ ∣ = 12, | ¯ c | = 13

¯ a, ¯ b, ¯ c

¯ b + ¯ c, ¯ c + ¯ a, ¯ a + ¯ b

∣ ∣ ¯ a + ¯ b + ¯ c ∣ ∣ =

¯ a, ¯ b, ¯ c

¯ a \times ¯ b = ¯ c

¯ b \times ¯ c = ¯ a

| ¯ b | = 1

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