jee_main_2026_24_january_evening - Vector Algebra Topics

Master these core formulas and structures to solve almost any past paper question.

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QUESTION #4 Projection of a Vector
Let veca=2hati-hatj-hatk,vecb=hati+3hatj-hatk and vecc=2hati+hatj+3hatk. Let vecv be the vector in the plane of the vectors veca and vecb, such that the length of its projection on the vector vecc is frac1sqrt14. Then |vecv| is equal to
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QUESTION #19 Cross Product and Dot Product
Let veca=2hati-5hatj+5hatk and vecb=hati-hatj+3hatk. If vecc is a vector such that 2(vecatimesvecc)+3(vecbtimesvecc)=vec0 and (veca-vecb)cdotvecc=-97, then |vecctimes hatk|^2 is 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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