The resultant of A- and B- makes an angle - with A- and angle - with B- - if - then-

The correct option is B A > BLets break the component of resultant vector → #160; R in direction → #160; A and → #160; B #160; #16 ...

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Vector Component

The resultant...

Question

The resultant of $\to A$ and $\to B$ makes an angle $α$ with $\to A$ and angle $β$ with $\to B$ , if $α < β$ then:

A < B

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

A = B

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

A > B

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

all the above

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

Open in App

Solution

The correct option is B A > B
Lets break the component of resultant vector $\to R$ in direction $\to A$ and $\to B$
Then,
$∣ ∣ \to A ∣ ∣ = ∣ ∣ \to R ∣ ∣ c o s α$
$∣ ∣ \to B ∣ ∣ = ∣ ∣ \to R ∣ ∣ c o s β$
If $α < β$ then , $c o s α > c o s β$
$⟹ ∣ ∣ ∣ ⟶ A ∣ ∣ ∣ > ∣ ∣ ∣ ⟶ B ∣ ∣ ∣$
means, A>B

Suggest Corrections

Similar questions

Q. Vectors

\to a

and

\to b

include an angle

θ

between them. If

(\to a + \to b)

and

(\to a - \to b)

respectively subtend angles

α

and

β

with

\to a

, then

(t a n α + t a n β)

is :

Q. Let

\to a, \to b, \to c

be three unit vectors such that

∣ ∣ \to a + \to b + \to c ∣ ∣ = 1

and

\to a ⊥ \to b

. If

\to c

makes angle

α, β

with

\to a, \to b

respectively then

cos α + cos β

is equal to

Q. Two vectors

\to A

and

\to B

inclined at an angle

θ

have a resultant

\to R

which makes an angle

α

with

\to A

and angle

β

with

\to B

. Let the magnitudes of the vectors

\to A

\to B

and

\to R

be represented by A, B and R respectively. Which of the following relations is not correct?

Q. If the resultant vector of

\to A

and

\to B

makes an angle

α

with

\to A a n d β

with

\to B

, Then :

Q. Let

\to a, \to b

and

\to c

be three unit vectors, out of which vectors

\to b

and

\to c

are non-parallel. If

α

and

β

are the angles which vector

\to a

makes with vectors

\to b

and

\to c

respectively and

\to a \times (\to b \times \to c) = \frac{1}{2} \to b

, then

| α - β |

is equal to:

Join BYJU'S Learning Program

The resultant of →A and →B makes an angle α with →A and angle β with →B , if α<β then:

The correct option is B A > BLets break the component of resultant vector →R in direction →A and →B Then,∣∣→A∣∣=∣∣→R∣∣cosα∣∣→B∣∣=∣∣→R∣∣cosβIf α<β then , cosα>cosβ⟹∣∣∣⟶A∣∣∣>∣∣∣⟶B∣∣∣ means, A>B

The resultant of $\to A$ and $\to B$ makes an angle $α$ with $\to A$ and angle $β$ with $\to B$ , if $α < β$ then: