Home
Class 12
MATHS
If the work done by a force vecF=hati+ha...

If the work done by a force `vecF=hati+hatj-8hatk` along a givne vector in the xy-plane is 8 units and the magnitude of the given vector is `4sqrt(3)` then the given vector is represented as (A) ` (4+2sqrt(2))hati+(4-2sqrt(2))hatj` (B) `(4hati+3sqrt(2)hatj)` (C) `(4sqrt(2)hati+4hatj)` (D) `(4+2sqrt(2))(hati+hatj)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Given two vectors are hati-hatj and hati+2hatj . The unit vector coplanar with the two vectors nad perpendicular to first is (A) 1/sqrt(2)(hati+hatj) (B) 1/sqrt(5)(2hati+hatj) (C) +-1/sqrt(2)(hati+hatj) (D) none of these

What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt2) hati + (1)/(sqrt2) hatj + hatk and (1)/(sqrt2) hati - (1)/(sqrt2) hatj +hatk ?

Two vectors vecalpha=3hati+4hatj and vecbeta5hati+2hatj-14hatk have the same initial point then their angulr bisector having magnitude 7/3 be (A) 7/(3sqrt(6))(2hati+hatj-hatk) (B) 7/(3sqrt(3))(\hati+hatj-hatk) (C) 7/(3sqrt(3))(hati-hatj+hatk) (D) 7/(3sqrt(3))(hati-hatj-hatk)

A unit vector in xy-plane that makes an angle of 45^0 with the vector hati+hatj and angle of 60^0 with the vector 3hati-4hatj is (A) hati (B) (hati+hatj)/sqrt(2) (C) (hati-hatj)/sqrt(2) (D) none of these

Unit vector in the xyplane that makes and angle of 45^0 with the vector hati+hatj and an angle of 60^0 with the vector 3hati-4hatj is (A) hati (B) (hati+hatj)/sqrt(2) (C) (hati-hatj)/sqrt(2) (D) none of these

A vector vecv or magnitude 4 units is equally inclined to the vectors hati+hatj, hatj+hatk, hatk+hati, which of the following is correct? (A) vecv=4/sqrt(3)(hati-hatj-hatk) (B) vecv=4/sqrt(3)(hati+hatj-hatk0 (C) vecv=4/sqrt(3)(hati+hatj+hatk0 (D) vecv=4(hati+hatj+hatk)

A vector of magnitude 2 along a bisector of the angle between the two vectors 2hati-2hatj+hatka and hati+2hatj-2hatk is (A) 2/sqrt(10)(3hati-hatk) (B) 2/sqrt(23)(hati-3hatj+3hatk) (C) 1/sqrt(26) (hati-4hatj+3hatk) (D) none of these

If a=2hati+2hatj-8hatk and b=hati+3hatj-4hatk , then the magnitude of a+b is equal to