Two given points P and Q in the rectangular Cartesian coordinates lie on `y=2^(x+2)` such that `vecOP.hati=-1 and vecOQ.hati=+2` where `hati` is a unit vector along the x-axis. Find the magnitude of `vec(OQ)-4vec(OP)`

If two point P and Q are on the curve y=2^(x+2) , such that vec(OP).hati=-1 and vec(OQ).hati=2 , where hati is a unit vector along the x - axis, then |vec(OQ)-4vec(OP)| is equal to

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)

If P and Q are two given points on the curve y=x+(1)/(x) such that vec OP.hat i=1 and vec OQ*hat i=-1 where i is a unit vector along x - axis then the length of the vector 3vec OP+2vec OQ is (A) sqrt(5) (B) 3sqrt(5)(C)2sqrt(5)(D)5sqrt(5)

Let vecu be a vector on rectangular coodinate system with sloping angle 60^(@) suppose that |vecu-hati| is geomtric mean of |vecu| and |vecu-2hati| , where hati is the unit vector along the x-axis . Then find the value of (sqrt2+ 1) |vecu|

A vector vec P when added to the sum of the vectors 2hati-3hatj+hatk and -3hati-hatj+hatk gives a unit vector along the x-axis. What is the magnitude of the vector vec P ?

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 .

Let vecu be a vector on rectangular coodinate system with sloping angle 60^(@) suppose that |vecu-hati| is geomtric mean of |vecu| and |vecu-2hati| , where hati is the unit vector along the x-axis . Then find the value of (sqrt2- 1)/ |vecu|

If vec(i) and vec(j) are unit vectors along x-axis and y-axis respectively, the magnitude of vector vec(i)+vec(j) will be :-

Let vec u be a vector on rectangular coordinate system with sloping angle 60^(0). Suppose that |vec u-hat i| is geometric mean of |vec u| and |vec u-2hat i|, where hat i is the unit vector along the x-axis.Then find the value of (sqrt(2)+1)|vec u|

A vector vec(X) , when added to the resultant of the vectors vec(A) = 3hati - 5hatj +7hatk and vec(B) = 2hati +4hatj - 3hatk gives a unit vector along Y-axis. Find the vector vec(X) .