Let a-b-c be non-coplanar vectors such that p-a-b-c-q-b-c-a- r-c-a-b- d-2a-3b-4c- If d-p-q-r- then

The correct option is C α+β+γ=3 2a 3b+4c=d=αp+βq+γr substituting for nbsp; nbsp; p=a+b c,q=b+c a, r=c+a b we get ⇒d=α(a+b c)+β(b+c a)+γ( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Condition for Two Lines to be on the Same Plane

Let a,b,c b...

Question

Let $\to a, \to b, \to c$ be non-coplanar vectors such that $\to p = \to a + \to b - \to c, \to q = \to b + \to c - \to a, \to r = \to c + \to a - \to b, \to d = 2 \to a - 3 \to b + 4 \to c$ . If $\to d = α \to p + β \to q + γ \to r$ , then

α = γ

No worries! We‘ve got your back. Try BYJU‘S free classes today!

α + γ = 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

α + β + γ = 3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

β + γ = 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

\frac{x - a + d}{α - δ} = \frac{y - a}{α} = \frac{z - a - d}{α + δ}

\frac{x - b + c}{β - γ} = \frac{y - b}{β} = \frac{z - b - c}{β + γ}

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

¯ ¯¯ ¯ α = ¯ ¯ b \times ¯ ¯ c, ¯ ¯ ¯ β = ¯ ¯ c \times ¯ ¯ ¯ a, ¯ ¯ ¯ γ = ¯ ¯ ¯ a \times ¯ ¯ b

α, β, γ

x^{3} - 2 x^{2} + q x - r

α + β = 0

2 q = r

α, β, γ

a x^{3} + b x^{2} + c x + d

α + β + γ = - \frac{b}{a}, α β + β γ + γ α = \frac{c}{a}, α β, γ = - \frac{d}{a}

\frac{x - a + d}{α - δ} = \frac{y - a}{α} = \frac{z - a - d}{α + δ}

\frac{x - b + c}{β - γ} = \frac{y - b}{β} = \frac{z - b - c}{β + γ}

α, β, γ

Δ A B C

\frac{α^{- 2} + β^{- 2} + γ^{- 2}}{cot A + cot B + cot C} =

Join BYJU'S Learning Program