Angle between two lines

JEE Main Mathematics · 3D Geometry · 5 questions, latest first

• Let a line L be perpendicular to both the lines L_1: (x+1)/3=(y+3)/5=(z+5)/7 and L_2: (x-2)/1=(y-4)/4=(z-6)/7. If θ is the acute…20266 April, Shift 1 · Q16
• Let A be the point of intersection of the lines L_1: (x-7)/1=(y-5)/0=(z-3)/-1 and L_2: (x-1)/3=(y+3)/4=(z+7)/5. Let B and C be…20254 April, Shift 2 · Q15
• If the line (2-x)/3=(3 y-2)/(4 λ+1)=4-z makes a right angle with the line (x+3)/(3 μ)=(1-2 y)/6=(5-z)/7, then 4 λ+9 μ is equal to:20245 April, Shift 1 · Q16
• Let L_1: r=( i- j+2 k)+λ( i- j+2 k), λ ∈ R, L_2: r=( j- k)+μ(3 i+ j+p k), μ ∈ R, and L_3: r=δ(ℓ i+m j+n k), δ ∈ R be three lines…202430 January, Shift 2 · Q17
• Let P(3,2,3), Q(4,6,2) and R(7,3,2) be the vertices of PQR. Then, the angle ∠ QPR is202429 January, Shift 2 · Q14