Two points P and Q are given in the rectangle cartesian coordinates in the curve `y=2^(x+2)`, such that `OP*hat(i)=-1 and OQ*hat(i)=2,` where `hat(i)` is a unit vector along the X-axis. Find the magnitude of OQ-4OP.

P and Q are two points on the curve y = 2^(x+2) in the rectangular cartesian coordinate system such that bar(OP).barC=-1 and bar(OQ).barC=2 . where barc is the unit vector along the positive direction of the x-axis. Then bar(OQ)-4bar(OP)= (A) 3i+8j (B) 4i+6j (C) 2(3i+4j) (D) (4i+3j)

let vec a= ( hat i+ hat j+ hat k) then find the unit vector along this vector

If hat i and hat j are unit vectors along mutually perpendicular directions then the magnitude of hat i- hat j is :

Two points P and Q are lying on the curve y=log_(2)(x+3) in xy plane such that vec (OP) . hat i=1 and , vec OQ*hat j=3 ,then the value of |vec (OQ)-2vec (OP)| is (where,"O" is the origin).

If vec(P)=hat(i)+hat(j)-hat(k) and vec(Q)=hat(i)-hat(j)+hat(k) , then unit vector along (vec(P)-vec(Q)) is :

The unit vector along vec(A)= 2 hat i + 3 hat j is :

The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axis, where hat(i) and hat(j) are unit vectors along x- and y-axis, respectively, is

Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j) , the unit vector coplanar with the two vectors and perpendicular to first is

overset(rarr)A is a vector which when added to the resultant of vectors (2 hat I - 3 hat j + 4 hat k) and (hat i+5 hat j +2 hat k) yields a unit vector along the y axis then vector overset(rarr)A is :

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.