If angle between -a and -b is -3- then angle between 2-a and -3-b is

The correct option is B 2π3 Step 1: Draw vector a⃗ and b⃗ #160; #160; [Ref. Fig.1] Step 2: Draw 2a⃗ and ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Triangle Inequality

If angle betw...

Question

If angle between $\to a$ and $\to b$ is $\frac{π}{3}$ , then angle between $2 \to a$ and $- 3 \to b$ is

\frac{π}{3}

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

\frac{2 π}{3}

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

\frac{π}{6}

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

\frac{5 π}{3}

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

Open in App

Solution

The correct option is B $\frac{2 π}{3}$
$Step 1: Draw vector$ $\to a$ $and$ $\to b$ $[Ref. Fig.1]$

$Step 2: Draw$ $2 \to a$ $and$ $- 3 \to b$ $[Ref. Fig.2]$
Vector $2 \to a$ will be twice the length of $\to a$ in the same direction.
Vector $- 3 \to b$ will be of thrice the size of vector $\to b$ but in opposite direction.

Let $ϕ$ be the angle between $2 \to a$ and $- 3 \to b$ .
$ϕ = π - \frac{π}{3} = \frac{2 π}{3}$

Hence, Angle between $2 \to a$ and $- 3 \to b$ is $\frac{2 π}{3}$ . Option B is correct.

Suggest Corrections

Similar questions

Q. If

θ \in [\frac{5 π}{12}, - \frac{π}{3}]

and mamimum value of

\frac{tan (θ + \frac{2 π}{3}) - tan (θ + \frac{π}{6}) + cos (θ + \frac{π}{6})}{\sqrt{3}}

\frac{a}{b}

(where a and b are co-primes),then

a - b

is equal to _________________

Q. The angle between

a

and

b

π / 6

, then angle between 2

a

and 3

b

Let the vectors and be such that and, then is a unit vector, if the angle between and is

(A) (B) (C) (D)

Let the vectors a and b be such that $| a | = 3$ and $| b | = \frac{\sqrt{2}}{3}$ , then $a \times b$ is a unit vector, if the angle between a and b is

a) $\frac{π}{6}$

b) $\frac{π}{4}$

c) $\frac{π}{3}$

d) $\frac{π}{2}$

i f 2 f (s i n x) + f (c o s x) = x \forall x ϵ t h e n r a n g e o f f (x) i s

Join BYJU'S Learning Program

If angle between →a and →b is π3, then angle between 2→a and −3→b is

If angle between $\to a$ and $\to b$ is $\frac{π}{3}$ , then angle between $2 \to a$ and $- 3 \to b$ is