JEE Main Maths Test- 7 - JEE MCQ
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25 Questions MCQ Test - JEE Main Maths Test- 7
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JEE Main Maths Test- 7 - Question 1
Let p and q be the position vectors of P and Qrespectively, with respect to O and |p| =p, |q| = q.
The points R and S divide PQ internally and externally in the ratio 2:3 respectively. If
and 
are perpendicular, then
Detailed Solution for JEE Main Maths Test- 7 - Question 1
JEE Main Maths Test- 7 - Question 2
If the scalar product of the vector i+j+k with a unit
vector parallel to the sum of vectors 2i+4j–5k and
is equal to one, the 
is equal to
vector parallel to the sum of vectors 2i+4j–5k and
is equal to one, the is equal to| 1 Crore+ students have signed up on EduRev. Have you? Download the App |
JEE Main Maths Test- 7 - Question 3
The unit vectors perpendicular to vectors i–j and i+j forming a right handed system is
JEE Main Maths Test- 7 - Question 4
If A = 2i+2j+3k, B = –i+ 2j+ k and C = 3i+ j, then A +t B is perpendicular to C if t is equal to
JEE Main Maths Test- 7 - Question 5
If the vectors a,b and c form the side BC,CA and AB respectively, of a triangle ABC, then
JEE Main Maths Test- 7 - Question 6
Let the vectors a,b,c and d be such that (a×b)×(c×d) =0. Let P1 and P2 be planes determined by the pairs ofvectors a,b and c,d respectively. Then the angle between P1 and P2 is
JEE Main Maths Test- 7 - Question 7
If x and y are two unit vectors and
is the angle between them, then 
is equal to
is the angle between them, then is equal to
JEE Main Maths Test- 7 - Question 8
If a and b are two unit vectors such that a+2b and5a–4b are perpendicular to each other, then the angle between a and b is
JEE Main Maths Test- 7 - Question 9
Let a and b be two non-collinear unit vectors. if u = a–(a.b) b and v = a×b, then |v| is
JEE Main Maths Test- 7 - Question 10
If a.b and c are three non-coplanar vecotrs, then (a b c).[(a b)×(a c)] equals
JEE Main Maths Test- 7 - Question 11
If a, b and c are unit coplanar vectors, then the scalar triple product [2a–b 2b–c 2c–a] =
JEE Main Maths Test- 7 - Question 12
If a,b,c be three non-coplanar vectors, then i. [a+b,b+c,c+a] =, ii. [a–b,b–c,c–a] =
iii. [a×b,b×c,c×a] =
iii. [a×b,b×c,c×a] =
JEE Main Maths Test- 7 - Question 13
If a,b,c are non-coplanar unit vectors usch that a 
(b and c non-coplanar) then the
angle between a and b is
(b and c non-coplanar) then theangle between a and b is
JEE Main Maths Test- 7 - Question 15
Let a, b and c be three vectors with magnitudes 1, 1 and 2 respectively. If ax(axc) + b = 0, then the acute angle between a and c is?
JEE Main Maths Test- 7 - Question 16
The directional cosines of the line which is perpendicular to the lines with direction cosines
proportional to 6,4,–4 and –6,2,1 is
proportional to 6,4,–4 and –6,2,1 is
JEE Main Maths Test- 7 - Question 17
Angle between the lines whose direction cosine is
given by l m n=0=l2 m2–n2 is
given by l m n=0=l2 m2–n2 is
JEE Main Maths Test- 7 - Question 18
The lines whose direction cosine are given by the relations a2l b2m c2n = 0 and mn nl lm = 0 are parallel if
JEE Main Maths Test- 7 - Question 19
The point of intersection of the line drawn form thevertices of any tetrahedran to the centroid of opposite faces divide the distance from each vertex to the opposite face in ratio
JEE Main Maths Test- 7 - Question 20
If vertices of tetrahedron are (1,2,3), (2,3,5),(3,–1,2) and (2,1,4) then its centroid is
*Answer can only contain numeric values
JEE Main Maths Test- 7 - Question 21
are three vectors of which every pair is non collinear. If the vector 
and 
are collinear with 
respectively then 
is :-
Detailed Solution for JEE Main Maths Test- 7 - Question 21
*Answer can only contain numeric values
be vectors such that 
is :-
Detailed Solution for JEE Main Maths Test- 7 - Question 22
*Answer can only contain numeric values
then λ + μ is equal to :-
Detailed Solution for JEE Main Maths Test- 7 - Question 23
*Answer can only contain numeric values
JEE Main Maths Test- 7 - Question 24
If a straight line make angles α, β, γ and δ with four diagonals of a cube, then the value of sin2 α + sin2 β + sin2 γ + sin2 δ is –
*Answer can only contain numeric values
JEE Main Maths Test- 7 - Question 25
If the lines 
intersect each other, then (λ + m) is equal to –
Detailed Solution for JEE Main Maths Test- 7 - Question 25
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