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Incredible Let A=I 2J K B=I-J K Ideas. Web a× b= −3i+j+5k therefore the required area is p (−3)2 +12 +52 = √ 35. Web any vector r in the plane a and b is r = a + λb ∴ r = (i ^ + 2 j ^ + k ^) + λ (i ^ − j ^ + k ^) = (1 + λ) i ^ + (2 − λ) j ^ + (1 + λ) k ^ projection of r on c = ∣ c ∣ r ⋅ c ⇒ (1) 2 + (1) 2 + (− 1) 2.
Web the correct option is c. A vector in the plane of b and c whose projection on a is of magnitude √ (2/3) is. Web given 𝒂 ⃗ = 𝑖 ̂ + 2𝑗 ̂ & 𝒃 ⃗ = 2𝑖 ̂ + 𝑗 ̂ so, we can we can write, 𝒂 ⃗ = 1𝑖 ̂ + 2𝑗 ̂ + 0𝑘 ̂ & 𝒃 ⃗ = 2𝑖 ̂ + 1𝑗 ̂ + 0𝑘 ̂ magnitude of 𝒂 ⃗ |𝑎 ⃗ | = √(12+22+02) = √5
Asked Jan 10, 2020 In.
→ a ⋅ → b = abcosθ. What is the volume of the parallelepiped with sides 2i+j− k,5i− 3k, and i− 2j+k? Web any vector r in the plane a and b is r = a + λb ∴ r = (i ^ + 2 j ^ + k ^) + λ (i ^ − j ^ + k ^) = (1 + λ) i ^ + (2 − λ) j ^ + (1 + λ) k ^ projection of r on c = ∣ c ∣ r ⋅ c ⇒ (1) 2 + (1) 2 + (− 1) 2.
Explanation For The Correct Answer:
Web a× b= −3i+j+5k therefore the required area is p (−3)2 +12 +52 = √ 35. We're asked to find the angle between two vectors, given their unit vector notations. If r be a vector.
Using The Definition Of Tin?
A vector in the plane of b and c whose projection on a is of magnitude √ (2/3) is. To do this, we can use the equation. Web given 𝒂 ⃗ = 𝑖 ̂ + 2𝑗 ̂ & 𝒃 ⃗ = 2𝑖 ̂ + 𝑗 ̂ so, we can we can write, 𝒂 ⃗ = 1𝑖 ̂ + 2𝑗 ̂ + 0𝑘 ̂ & 𝒃 ⃗ = 2𝑖 ̂ + 1𝑗 ̂ + 0𝑘 ̂ magnitude of 𝒂 ⃗ |𝑎 ⃗ | = √(12+22+02) = √5
If Vector C Is A Vector Such That B X C = B X A And C.
In r^2, if the magnitude of the projection vector of the vector αi + βj on √3i + j is √3 and α = 2 + √3β, find the possible values of |α|. Web the correct option is c.