If the resultant of `vec a` and `vec b` lie along y-axis. Find thre magnitude of `b`

A vector vec C when added to the resultant of the vectors vec A = 3 hati -4 hat j + 5 hat k and vec B = 2 vec 2 hat I + 3 hat j -4 hat k giv es a unit vector along y-axis. Find the magnitude of vec C .

A vector vec(B) which has a magnitude 8.0 is added to a vector vec(A) which lies along the x-axis. The sum of these two vector is a third vector which lies along the y-axis and has a magnitude that is twice the magnitude of vec(A) . Find the magnitude of vec(A)

A vector vec(B) which has a magnitude 8.0 is added to a vector vec(A) which lies along the x-axis. The sum of these two vector is a third vector which lies along the y-axis and has a magnitude that is twice the magnitude of vec(A) . Find the magnitude of vec(A)

Give vec A + vec B+ vec C + vec D =0 , which of the following statements are correct ? (a) vec A, vec B ,vec C abd vec C must each be a null vector. (b) The magnitude of ( vec A + vec C) equals the magnitude of ( vec B + vec D0 . ltBrgt (c ) The magnitude of vec A can never be greater than the sum of the magnitude of vec B , vec C and vec D . ( d) vec B + vec C must lie in the plance of vec A + vec D. if vec A and vec D are not colliner and in the line of vec A and vec D , if they are collinear.

The resultant of vec(a) and vec(b) makes alpha with vec(a) and beta with vec(b) , then (a,b represent magnitudes of respective vectors) :

The resultant of vec(a) and vec(b) makes alpha with vec(a) and beta with vec(b) , then (a,b represent magnitudes of respective vectors) :

Two vectors vec A and vec B have equal magnitudes.The magnitude of (vec A+vec B) is 'n' times the magnitude of (vec A-vec B).The angle between vec A and vec B is:

If vec(A)=2hat(i)-2hat(j)-hat(k) and vec(B)=hat(i)+hat(j) , then: (i) Find angle between vec(A) and vec(B) (ii) Find the projection of resultant vector of vec(A) and vec(B) on x-axis. (iii) Find a vector which is, if added to vec(A) , gives a unit vector along y-axis.

If vec(A)=2hat(i)-2hat(j)-hat(k) and vec(B)=hat(i)+hat(j) , then: (i) Find angle between vec(A) and vec(B) (ii) Find the projection of resultant vector of vec(A) and vec(B) on x-axis. (iii) Find a vector which is, if added to vec(A) , gives a unit vector along y-axis.

The resultant and dot product of two vectors vec(a) and vec(b) is equal to the magnitude of vec(a) . Show that when the vector vec(a) is doubled , the new resultant is perpendicular to vec(b) .