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Vectors Quiz II Mission DUJAT 2021 II 17 September
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Question 1
If the vectors 
are mutually orthogonal, then (λ, μ) =
Question 2
A particle is acted upon by constant forces 
and 
which displace it from a point 
to the point
. The work done in standard units by the forces is given by
and which displace it from a point to the point. The work done in standard units by the forces is given byQuestion 3
If 
and 
, then the value of 
is
Question 4
Let 
and 
. If 
is unit vector such that 
= 0 and 
= 0, then 
is equal to
and . If is unit vector such that = 0 and = 0, then is equal to Question 5
Let 
and 
be non-zero vectors such that
. If θ is the acute angle between the vectors 
and
, then sin θ equals
and be non-zero vectors such that. If θ is the acute angle between the vectors and, then sin θ equals Question 6
ABC is a triangle. Forces 
acting along IA, IB and IC respectively are in equilibrium, where I is the incentre of ΔABC. Then
P : Q : R is
acting along IA, IB and IC respectively are in equilibrium, where I is the incentre of ΔABC. Then P : Q : R is
Question 7
Let 
and 
be two unit vectors. If the vectors 
and 
are perpendicular to each other, then the angle between 
and 
is
and be two unit vectors. If the vectors and are perpendicular to each other, then the angle between and isQuestion 8
The resultant of two forces P N and 3 N is a force of 7 N. If the direction of the 3 N force were reversed, the resultant would be √19 N. The value of P is
Question 9
Three forces 
acting along IA, IB and IC, where I is the incentre of aΔABC, are in equilibrium. Then 
is
acting along IA, IB and IC, where I is the incentre of aΔABC, are in equilibrium. Then is Question 10
Vector of length 3 unit which is perpendicular to 
+
+
and lies in the plane of 
+
+
and 2
–3
, is-
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