>
Exams
>
Physics
>
Vectors
>
given that a b r and a b r what should be the angl
Question:
Given that A + B = R and A = B = R. What should be the angle between A and B?
Show Hint
For equal vectors, geometry simplifies vector addition greatly.
BITSAT - 2017
BITSAT
Updated On:
Mar 20, 2026
0
\(\pi/3\)
\(2\pi/3\)
π
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Step 1:
Using vector formula R² = A² + B² + 2ABcosθ
Step 2:
Given A=B=R R² = R² + R² + 2R²cosθ
Step 3:
1 = 2(1+cosθ) ⟹ cosθ=\frac12 ⟹ θ=(π)/(3)
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Physics Questions
Two point charges
$-q$
and
$+ q$
are located at point's
$(0, 0, - a)$
and,
$(0, 0, a)$
respectively. The electric potential at a point
$(0, 9, z)$
, where
$z > a$
is
BITSAT - 2009
Physics
potential energy
View Solution
Which of the following must be known in order to determine the power output of an automobile?
BITSAT - 2012
Physics
Power
View Solution
A large drop of oil (density
$0.8 \,g / cm ^{3}$
and viscosity
$\eta_{0}$
) floats up through a column of another liquid (density
$1.2\, g / cm ^{3}$
and viscosity
$\eta_{L}$
). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
BITSAT - 2012
Physics
Pressure
View Solution
A body is projected vertically upwards at time
$ t = 0$
and it is seen at a height
$H$
at time
$t_1$
and
$t_2$
second during its flight. The maximum height attained is (
$g$
is acceleration due to gravity)
BITSAT - 2009
Physics
Projectile motion
View Solution
At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
BITSAT - 2006
Physics
Projectile motion
View Solution
View More Questions
Top BITSAT Vectors Questions
The two vectors A and B are drawn from a common point and C = A + B. The angle between A and B is:
BITSAT - 2011
Physics
Vectors
View Solution
Two vectors A and B are such that | A+ B|=| A- B|. The angle between them is:
BITSAT - 2011
Physics
Vectors
View Solution
Given that A + B = R and A = B = R. What should be the angle between A and B?
BITSAT - 2021
Physics
Vectors
View Solution
Given vecP = 2hati - 3hatj + 4hatk and vecQ = hatj - 2hatk. The magnitude of their resultant is:
BITSAT - 2018
Physics
Vectors
View Solution
A vector \(\sqrt{3}\hat{i} + \hat{j}\) rotates about its tail through an angle 30\(^\circ\) in clock wise direction then the new vector is
BITSAT - 2026
Physics
Vectors
View Solution
Top BITSAT Questions
Two point charges
$-q$
and
$+ q$
are located at point's
$(0, 0, - a)$
and,
$(0, 0, a)$
respectively. The electric potential at a point
$(0, 9, z)$
, where
$z > a$
is
BITSAT - 2009
potential energy
View Solution
Which of the following must be known in order to determine the power output of an automobile?
BITSAT - 2012
Power
View Solution
A large drop of oil (density
$0.8 \,g / cm ^{3}$
and viscosity
$\eta_{0}$
) floats up through a column of another liquid (density
$1.2\, g / cm ^{3}$
and viscosity
$\eta_{L}$
). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
BITSAT - 2012
Pressure
View Solution
A body is projected vertically upwards at time
$ t = 0$
and it is seen at a height
$H$
at time
$t_1$
and
$t_2$
second during its flight. The maximum height attained is (
$g$
is acceleration due to gravity)
BITSAT - 2009
Projectile motion
View Solution
At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
BITSAT - 2006
Projectile motion
View Solution
View More Questions