Given A - B - C and the magnitudes of vectors A - B and C are respectively 12-5 and 13 units- The angle between A and B isA- -B- zeroC- -2D- -4

The correct option is C π/2 If the angle between A and B is θ, the magnitude of the resultant is given by C^2=A^2+B^2+2AB cos θ ⇒ (13)^2=(12)^2+(5)^2+2× 12× 5× ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Vector Addition

Given A + B =...

Question

Given $\to A + \to B = \to C$ and the magnitudes of vectors $\to A$ , $\to B$ and $\to C$ are respectively 12, 5 and 13 units. The angle between $\to A$ and $\to B$ is

zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$π$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{π}{2}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\frac{π}{4}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$\frac{π}{2}$

If the angle between $\to A$ and $\to B$ is $θ$ , the magnitude of the resultant is given by
$C^{2} = A^{2} + B^{2} + 2 A B c o s θ$
$\Rightarrow (13)^{2} = (12)^{2} + (5)^{2} + 2 \times 12 \times 5 \times c o s θ$
$\Rightarrow c o s θ = 0$
$\Rightarrow θ = \frac{π}{2}$ .
Hence, the correct choice is (c).

Suggest Corrections

Similar questions

Q. The magnitude of vectors

\to A, \to B

and

\to C

are respectively

12, 5

and

13

units and

\to A + \to B = \to C

, then the angle between

\to A

and

\to B

Q. Given that

\to C = \to A + \to B

. The magnitude of

\to A, \to B

and

\to C

are 12, 5 and 13 units respectively. The angle between

\to A

and

\to B

Given $\to A + \to B = \to C$ and the magnitudes of vectors $\to A$ , $\to B$ and $\to C$ are respectively 12, 5 and 13 units. The angle between $\to A$ and $\to B$ is

The magnitude of vector $\to A, \to B$ and $\to C$ are respectively 12, 5 and 13 units and $\to A + \to B = \to C$ then the angle between $\to A$ and $\to B$ is

$\to a, \to b$ and $\to c$ be three vectors having magnitudes 1, 1 and 2 respectively. If $\to a \times (\to a \times \to c) + \to b = 0$ , then the acute angle between $\to a$ and $\to c$ is

Join BYJU'S Learning Program

Given →A+→B=→Cand the magnitudes of vectors →A, →B and →C are respectively 12, 5 and 13 units. The angle between →A and →B is

The correct option is C π2 If the angle between →A and →B is θ, the magnitude of the resultant is given by C2=A2+B2+2AB cos θ ⇒(13)2=(12)2+(5)2+2×12×5×cos θ ⇒cos θ=0 ⇒θ=π2. Hence, the correct choice is (c).

Given $\to A + \to B = \to C$ and the magnitudes of vectors $\to A$ , $\to B$ and $\to C$ are respectively 12, 5 and 13 units. The angle between $\to A$ and $\to B$ is