Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Vector Algebra question

2007 · Shift 1 · Q29
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /Vector Algebra
  5. /2007 · Shift 1 · Q29

Vector Algebra question

2007 · Shift 1 · Q29

JEE AdvancedMathematicsVector AlgebraMCQ+3 / −1
The number of distinct real values of λ\lambdaλ, for which the vectors −λ2i^+j^+k^,i^−λ2j^+k^- {\lambda ^2}\widehat i + \widehat j + \widehat k,\widehat i - {\lambda ^2}\widehat j + \widehat k−λ2i+j​+k,i−λ2j​+k and i^+j^−λ2k^\widehat i + \widehat j - {\lambda ^2}\widehat ki+j​−λ2k are coplanar, is :
  1. A
    zero
  2. B
    one
  3. C
    two
  4. D
    three
PreviousNext

More from Vector Algebra

  • Let the vector PQ​,QR​,RS,ST,TU and UP, represent the sides of a regular hexagon. Statement 1 : PQ​×(RS+ST)e0…2007 · MCQ
  • For any two points M and N in the XY-plane, let MN denote the vector from M to N, and 0 denote the zero vector. Let P,Q and R be three distinct points in the XY-plane. Let S be a point inside…2025 · Numerical
  • Let w=i^+j^​−2k^, and u and v be two vectors, such that u×v=w and v×w=u. Let α,β,γ, and t be real numbers such that u=αi^+βj^​+γk^,   −tα+β+γ=0,   α−tβ+γ=0,   α+β−tγ=0.… Includes table2025 · MCQ
  • Consider the vectors x=^+2^​+3k^,y​=2^+3^​+k^, and z=3^+^​+2k^ For two distinct positive real numbers α…2025 · Numerical
  • Let OP=αα−1​i^+j^​+k^,OQ​=i^+ββ−1​j^​+k^ and OR=i^+j^​+21​k^ be three vectors, where α,β∈R−{0}…2024 · Numerical
  • Let p​=2i^+j^​+3k^ and q​=i^−j^​+k^. If for some real numbers α,β, and γ, we have 15i^+10j^​+6k^=α(2p​+q​)+β(p​−2q​)+γ(p​×q​),…2024 · Numerical
  • Let P be the plane 3​x+2y+3z=16 and let S={αi^+βj^​+γk^:α2+β2+γ2=1 and the distance of (α,β,γ) from the plane P is…2023 · Numerical
  • Let the position vectors of the points P,Q,R and S be a=i^+2j^​−5k^,b=3i^+6j^​+3k^, c=517​i^+516​j^​+7k^ and $\vec{d}=2…2023 · MCQ