Addition of Vectors
Trending Questions
Q.
The vector z=3-4i is turned anticlockwise through an angle of 180∘ and stretched 2.5 times. The complex number corresponding to the newly obtained vector is
-10i
-10i
+10i
None of these
Q. For the given vectors →A and →B (→A+→B∣∣∣ will always be greater than (→A∣∣∣+(→B∣∣∣.
- False
- True
Q. If →a=(3, −2, 1), →b=(−1, 1, 1) then the unit vector parallel to the vector →a+→b is
- (23, −13, 23)
- (25, −15, 25)
- (2√3, −1√3, 2√3)
- (−2√3, 1√3, −2√3)
Q.
180 - α
α
360 + α
180 + α
Q. ABCD is a quadrilateral. E is the point of intersection of the line joining the midpoint of the opposite sides. If O is any point and −−→OA+−−→OB+−−→OC+−−→OD=x−−→OE, then x is equal to
- 3
- 9
- 7
- 4
Q. If the riverboat is crossing the river, with a velocity of 4 m/s along the north and the river is flowing with a velocity of 3 m/s along the west,
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/409915/original_Capture1.PNG)
then what is the magnitude and direction of resultant velocity?
then what is the magnitude and direction of resultant velocity?
- 5 m/s in south-east direction
- 7 m/s in north-west direction
- 5 m/s in north-west direction
- 7 m/s in south-east direction
Q.
If y=1√a2−x2, find, dydx.
Q. The resultant of P and Q is R. If Q is doubled, R is also doubled and if Q is reversed, R is again doubled. Then, P2:Q2:R2 given by
- 2:2:3
- 3:2:2
- 2:3:2
- 2:3:1
Q.
(→a.^i)(→a×^i)+(→a.^j)(→a×^j)+(→a.^k)(→a×^k) is always equal to
→a
2→a
3→a
None of these
Q.
The vectors →b and →c are in the direction of north-east and north-west respectively and |→b|=|→c|=4. The magnitude and direction of the vector →d=→c−→b, is
4√2, towards north
4√2, towards west
4, towards east
4, towards south