If angle between a and b is 30- and their magnitudes are respectively -3 and 4 units- then the value of a-b is

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

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

Join BYJU'S Learning Program

If angle between →a and →b is 30∘ and their magnitudes are respectively √3 and 4 units, then the value of →a⋅→b is

The correct option is B 6→a⋅→b=|→a||→b|cosθ Given |→a|=√3,|→b|=4 and θ=30∘ ⇒→a⋅→b=√3×4×√32=6

If angle between $\to a$ and $\to b$ is $30^{\circ}$ and their magnitudes are respectively $\sqrt{3}$ and $4$ units, then the value of $\to a \cdot \to b$ is

The correct option is B $6$
$\to a \cdot \to b = | \to a | | \to b | cos θ$
Given $| \to a | = \sqrt{3}, | \to b | = 4$ and $θ = 30^{\circ}$
$\Rightarrow \to a \cdot \to b = \sqrt{3} \times 4 \times \frac{\sqrt{3}}{2} = 6$