NDA MATHEMATICS QUIZ - 8

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Question 1:

If position vector of a point A is r= ai+bj+ck where a,b,c all are natural numbers it X¯=i+j+k and rX=12 than number of possible values for A will be.

Question 2:

If x,y,z be there non zero, non coplanar vectors than

r=2x3y+z,r2=3x5y+2z and

r¯3=4x¯5y+z are

Question 3:

If |a|=3 and |b|=2 and 3a¯+b¯=85=1

than [|3a+b|]2 equals

Question 4:

If b+c,c+a,a+b

=k[abc] where a,b,c are three non

coplanar vectors than k is

Question 5:

If a and b are unit be vectors and be the angle between then 3a×5b is a unit vector for.

Question 6:

If mutually perpendicular vectors a,b,c are given by

a=a1i+a2j+a3k

b=b,i+b2j+b3k

and C=c1i+c2j+c3k

then |a1a2a3b1b2b3c1c2c3| is equal to

Question 7:

|b+cabac+abcba+bcac| is equal to:

Question 8:

If the matrix A= [K42341231] is not non-singular then-

Question 9:

If |15x710113x7167x713|=0 then x is:

Question 10:

If P=[aiiiai] where i2=1 than which of the following is correct?