CBSE Class 12 Sample Paper for 2024 Boards
You are here
CBSE Class 12 Sample Paper for 2024 Boards
Last updated at Dec. 13, 2024 by Teachoo
The rest of the post is locked. Join Teachoo Black to see the full post.
Transcript
To find direction, we need to find Resultant force Now, Resultant force exerted by teams (𝑭 ⃗) = 𝑎 ⃗+𝑏 ⃗+𝑐 ⃗ = −𝒊 ˆ + 𝒋 ˆ This is in direction of 𝒃 ⃗ . Finding angle of vector 𝒃 ⃗ with respect to x-axis Now, Resultant force (𝑭 ⃗) = −𝒊 ˆ + 𝒋 ˆ And, Vector of x-axis = 𝑥 ⃗ = 𝒊 ˆ Now, 𝐹 ⃗.𝑥 ⃗=|𝐹 ⃗ ||𝑥 ⃗ | cos〖𝜃 〗 (−𝒊 ˆ + 𝒋 ˆ) . 𝒊 ˆ = √𝟐 × 1 × cos θ −1 = √2 × cos θ (−1)/√2 = cos θ cos θ = (−𝟏)/√𝟐 Since cos is negative ∴ Angle is in second quadrant And, cos 𝝅/𝟒 = 𝟏/√𝟐 Therefore, Required angle = 𝜋 − 𝜋/4 = 𝟑𝝅/𝟒
