Exam Pattern Exercise
Part A- Objective Type Questions
Mutiple Choice Type Questions
1
9 Ifai =a(i+)) =ali + j+k) =l, then äis
ABCD is a rhombus whose diagonals intersect
at E. Then, EA + EB + EC + ED equals
(a) 0
(b) AD
2 ifa is a non-zero
a
(c) 2 BC
-4 -6j+ 26k are
vector of magnitude of a and is
(NCERT]
(b)A=-1
[NCERT Exemplar]
(b) [-12, 8]
(c) [0, 12]
(d) [8, 12]
The vectors a =ai t a,j+ agk and b =hi +byj +byk
are collinear, if
[CBSE 2023|
(a) a, b, +a,b, t a,b, =0
(c) a, = b,,a, =b2, a =b,
(d) a, +a, t a, = b, +b, tb,
5 Position vector of the mid-point of line segment
AB is3 +2j-3k. If position vector of the point Ais
2i +3j- , then position vector of the point Bis
(a) 7
(CBSE 2N
(d)-1
(axi' +(a x j)? + ( x k)' is
’2
(NCERT Ec
2
(c) 4 a
(a) i-j =1
(b)i xj=1
(c) i-k=0
(d)i xk= 0
15 The number of vectors of unit length
perpendicular to the vectors a -i +j+2i and
B-j+kis
(a) | a=0
(b)| b|=0
[NCERT Exemplar]
34
4
(d)
5a
la||b,then the angle betwecn d and bis
(b) 30
(d) 9P
8 fa+8 l and å =2í -2)+2k,then |bjequuls
(c) Vi2
(b) two
[NCERT Esc
(d) infinte
(c) three
16 Ifa 6 =0 andaxõ =0,then
2
3:1, is
(b)3 a
perpendicular directions, then
join of points 2d- 36 and a + b in the ratio
(b) 3
(d) 21
(c) 1
(b) 0
(a) 2
I3 For any vector a, the value of
6 The position vector of the point which divides the
(a)h4
(c)
(b) 14
(a) one
(c)sí +sj -7k
(a) o°
3
12 The value bf (í xj)-j+jxi.kis
(b) 4i +j zÁ
7 If-6
ICBSE 1a
ab=|6e andjd - bi=V7, then|b| equals
(CBSE 2023)
(c)
other
(d) 2a
14 Ifi,j,k are unit vectors along three mutually
b,
4
to each
11 Let a =i-2j+34 If bis a vector such that
(a) a
(a) 3a 2-26 Zd-86
vector 2i + pj +*
perpendicular
(b) -3
(a) 3
(c) a =|A| (d) a =/| |
3 if||= 4and -3sas2 then the range of | a|is
(a) [0. 8]
(ai+ji
10 The value of pfor which the
(d) 2AD
nonzero scalar, then àa is unit vector if
(a) à =1
(c) j
(b) i
(a) k
[CBSE 2023)
(d) Vi7
(c) Both (a) and (b) are true
(d)
Either|a|=0 or| b| =0
Fill in the Blanks
17 In trlangle law of addition of vectors in AABC,
BC + CA
18
If the position vector of the point (12, n) is
that la =13, then the value of n is.