Vector Algebra

JEE Main 2024 (Online) 27th January Morning ShiftMCQMedium📈 Topic in 3% papers+4−1

Ques. 1JEE Main 2024, 27 January (Morning Shift)

Let a= i+2 j+ k, b=3( i- j+ k). Let c be the vector such that a c= b and a c=3. Then a (( c b)- b- c) is equal to :

Answer

(3) 24

Solution

Required = a ( c b)- a b- a c

a ( c b)=[ a c b]=( a c) b= b b=| b|2=9 3=27

a b=3(1-2+1)=0, a c=3

∴ Required =27-0-3=24

Answer: (3)

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Ques. 2JEE Main 2024, 27 January (Morning Shift)

The least positive integral value of , for which the angle between the vectors i-2 j+2 k and i+2 j-2 k is acute, is .

Ques. 3JEE Main 2024, 27 January (Evening Shift)

The position vectors of the vertices A, B and C of a triangle are 2 i-3 j+3 k, 2 i+2 j+3 k and - i+ j+3 k respectively. Let l denote the length of the angle bisector AD of where D is on the line segment BC, then 2l2 equals :

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