JEE > JEE Advanced Level Test: Vector Algebra- 2

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JEE Advanced Level Test: Vector Algebra- 2 - Question 1

If line is parallel to the plane , then the value of m is

JEE Advanced Level Test: Vector Algebra- 2 - Question 4

Let be a vector perpendicular to , where then (ℓ +m+n) is equal to

JEE Advanced Level Test: Vector Algebra- 2 - Question 5

If are three non-coplaner non-zero vectors and is any vector in space, then is equal to

JEE Advanced Level Test: Vector Algebra- 2 - Question 6

If a, b, c are pth, qth, rth terms of an H.P and

JEE Advanced Level Test: Vector Algebra- 2 - Question 7

If the unit vectors are inclined at an angle 2θ and , then for θ ∈ [0, π], θ may lie in the interval

JEE Advanced Level Test: Vector Algebra- 2 - Question 9

Consider a tetrahedron with faces f_{1}, f_{2}, f_{3}, f_{4 }Let be the vectors whose magnitudes are respectively equalt to the areas of f_{1}, f_{2}, f_{3}, f_{4} and whose directions are perpendicular to these faces in the outward direction. Then

JEE Advanced Level Test: Vector Algebra- 2 - Question 10

Let be non-coplaner unit vectors equally inclined to one another at an acute angle θ. Then in terms of θ is equalt to

JEE Advanced Level Test: Vector Algebra- 2 - Question 11

Let and . If the vector lies in the plane of , then x equals

JEE Advanced Level Test: Vector Algebra- 2 - Question 12

Images of the point P with position vector ^{ }in the line whose vector equation is has the position vector

JEE Advanced Level Test: Vector Algebra- 2 - Question 13

Let be such that . If the projection is equal to that of are perpendicular to each other, then equals.

JEE Advanced Level Test: Vector Algebra- 2 - Question 14

Let and . If is a unit vector such that then is equal to

JEE Advanced Level Test: Vector Algebra- 2 - Question 15

Equation of a line which passes through a point with position vector , parallel to the plane and perpendicular to the line

JEE Advanced Level Test: Vector Algebra- 2 - Question 16

Points L, M and N lie on the sides AB, BC and CA of the triangle ABC such that ℓ(AL) : ℓ(LB) = ℓ(BM) :ℓ(MC) = ℓ(CN) : ℓ(NA) = m :n, then the areas of the triangles LMN and ABC are in the ratio

Detailed Solution for JEE Advanced Level Test: Vector Algebra- 2 - Question 17

JEE Advanced Level Test: Vector Algebra- 2 - Question 18

If the vectors (a ≠ b ≠ c ≠ 1) are coplanar, then the value of is equal to

JEE Advanced Level Test: Vector Algebra- 2 - Question 19

The vectors are coinitial. The vector which is bisecting the angle between the vectors and is having the magnitude √6 is

JEE Advanced Level Test: Vector Algebra- 2 - Question 20

If A_{1}, A_{2}, A_{3}, .........A_{n }are the vertics of a regular plane polygon with n sides and O is its centre then equals

JEE Advanced Level Test: Vector Algebra- 2 - Question 21

For any four points P,Q, R, S, is equal to 4 times the

area of the triangle

*Multiple options can be correct

JEE Advanced Level Test: Vector Algebra- 2 - Question 22

If a line has a vector equation , then which of the following statements hold goods ?

*Multiple options can be correct

*Multiple options can be correct

JEE Advanced Level Test: Vector Algebra- 2 - Question 24

The vector directed along the external bisector of the angle between the vectors and with

JEE Advanced Level Test: Vector Algebra- 2 - Question 25

Which of the following acts in accordance with right hand screw rule?

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