ECAT Mathematics Chapter 23 Conic Section

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  • Chapter NameCh 23 Conic Section

ECAT Mathematics Chapter 23 Conic Section

  • Total Questions30

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ECAT Mathematics Chapter 23 Conic Section

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Question # 1

If G is the centroid of the triangle, then GA +GB+GC=

Question # 2

If a,b = 0 then

Question # 3

The modulus of a vector i-i+ k is:

Question # 4

The vector k = [0,0,1] is called unit vector along:

Question # 5

O (0,0)is called:

Question # 6

I f a =5i + 2j, then|a| =

Question # 7

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

Question # 8

a ______quantity is one that possesses both magnitude and direction.

Question # 9

If u = xi + yj, then|u|

Question # 10

If m and n be two scalars, then (m+n) g =

Question # 11

Vector additon is:

Question # 12

The magnitude of vector a=i-3j+5k is:

Question # 13

If|a| =|b| = |a+b|=1, then|a-b| is equal to:

Question # 14

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

Question # 15

The magnitude of vector a 2i-7j is

Question # 16

If aand bare two vectors then a+b =

Question # 17

The modulus of 12-5i is:

Question # 18

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

Question # 19

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

Question # 20

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

Question # 21

Vector i =

Question # 22

The angle between the vectors u =2i - i + k and v = -i + i is:

Question # 23

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Question # 24

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

Question # 25

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

Question # 26

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Question # 27

If a=5j + 2j,b=2i -3j, then|a+2b|=

Question # 28

If u =[3,-4],then modulus of uis:

Question # 29

The vector i = [1,0] is called unit vector along:

Question # 30

The positive real number which is the measure of the length of a vector is called the

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