If a and b are natural numbers such that a + 13b is divisible by 11 and a + 11b is divisible by 13, find the minimum value of a and b
Please suggest some books for Maths, Physics(apart from HC Verma), Chem for IIT-JEE.
no
the options given r -
a) unique value of x, 0<x<pi/6
b) unique value of pi/6<x<pi/3
c) no value of x
d) infinite values of x, 0<x<pi/3
The vectors a(x)=(cosxi + sinxj) and b(x)=xi + sinxj {where i and j are unit vectors) are collinear for what values of x?
If a, b, c are three mutually perpendicular vectors, then the projection of the vector [l a/|a| + m b/|b| + n (a+b)/|a+b|] along the angular bisector of vectors a and b may be given as
a) (l2 + m2)/(l2+m2+n2)1/2
b) (l2+m2+n2)1/2
c) (l2+m2)1/2/(l2+m2+n2)1/2
d) (l+m)/21/2
Plz sum1 chk out the unanswered questions on vector community
x and y are two mutually perpendicular unit vectors. If the vector ax + ay +c(x X y), x + (x X y) and cx + cy + b(x X y) lie in one plane, then c is
a) AM of a and b
b) GM of a and b
c) HM of a and b
d) equal to zero
The vectors a, b, c are of same length and the angle between any two of them is same.
a=(i + j), b=(j+k), then c is?
If a,b,c are three unit vectors such that a+b+c is also unit vector and @,@2,@3 are angles between vectors a,b; b,c and c,a respectively then among @,@2,@3
a) all r acute anles
b) all r right angles
c) atleast one is acute angle
d) none of dis
a) all r acute
b) all r 90
c) atleast one is acute
