jee_main_2026_21_jan_morning - Vector Algebra Topics

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Sample Questions in this Chapter

QUESTION #5 Cross Product and Dot Product Operations
Let a = - i + 2 j + 2 k , b = 8 i + 7 j - 3 k and c be a vector such that a × c = b . If c. ( i + j + k) = 4 , then | a + c|² is equal to:
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QUESTION #7 Collinearity and Cross Product of Vectors
Let c and d be vectors such that | c+ d|=√(29) and c×(2 i+3 j+4 k)=(2 i+3 j+4 k)× d . If λ₁,λ₂(λ₁>λ₂) are the possible values of ( c+ d).(-7 i+2 j+3 k) , then the equation K²x²+(K²-5K+λ₁)xy+(3K+ λ₂2)y²-8x+12y+λ₂=0 represents a circle, for k equal to:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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