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Class XII Maths Vectors 1
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Question 1
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 2
Vector of length 3 unit which is perpendicular to 
+
+
and lies in the plane of 
+
+
and 2
–3
, is-
Question 3
If 
,
, 
be the unit vectors such that 
is not parallel to 
and 
× (2
×
) = 
, then the angle that 
makes with 
and 
are respectively
,, be the unit vectors such that is not parallel to and × (2×) = , then the angle that makes with and are respectively Question 4
If 
and 
are two non- collinear vectors such that 
|| (
× 
), then (
×
). (
×
) is equal to
and are two non- collinear vectors such that || (× ), then (×). (×) is equal to Question 5
For any vector
, the value of 
is equal to
, the value of is equal toQuestion 6
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 7
Let 
be three unit vectors such that 
. If 
is not parallel to 
, then the angle between 
and 
is :
be three unit vectors such that . If is not parallel to , then the angle between and is :Question 8
If 
are non–coplanar vectors and p, q are real numbers, then the equality
= 0 holds for
are non–coplanar vectors and p, q are real numbers, then the equality = 0 holds for- 1305 attempts
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Mar 29JEE & BITSAT
