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    If unit vectors vec A and vec B are inclined at an angle theta ,Then

    Click here👆to get an answer to your question ✍️ If unit vectors vec A and vec B are inclined at an angle theta ,Then | vec A - vec B | is .

    If unit vectors

    Question A and B

    are inclined at an angle θ,Then

    ∣ ∣ ∣ ∣ ​ A − B ∣ ∣ ∣ ∣ ​ is .

    A2sin

    2 θ ​

    B2cos

    2 θ ​

    C2tan

    2 θ ​

    D

    tan θ

    Medium Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is A)

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    If unit vectors  and B̂ are inclined at an angle θ, then

    If unit vectors  and B̂ are inclined at an angle θ, then | B̂| is equal to

    Byju's Answer Standard XII Physics Unit Vectors If unit vecto... Question If unit vectors ^ A and ^ B

    are inclined at an angle

    θ , then | ^ A − ^ B | is equal to A 2 cos θ 2 B sin θ C 2 sin θ 2 D cos θ Open in App Solution

    The correct option is D

    2 sin θ 2 We can write, | ^ A − ^ B | 2 = | ^ A | 2 + | ^ B | 2 − 2 | ^ A | | ^ B | cos θ ⇒ | ^ A − ^ B | 2 = 1 + 1 − 2 cos θ ⇒ | ^ A − ^ B | 2 = 2 ( 1 − cos θ ) ⇒ | ^ A − ^ B | 2 = 4 sin 2 θ 2 ( ∵ 1 − cos θ = 2 sin 2 θ 2 ) ⇒ | ^ A − ^ B | = 2 sin θ 2 Suggest Corrections 14

    SIMILAR QUESTIONS

    Q.

    Let two non-collinear unit vectors

    ^ a and ^ b

    form an acute angle. A point P moves so that at any time t the position vector

    → O P

    (where, O is the origin) is given by

    ^ a cos t + ^ b sin t

    . When P is farthest from origin O, let M be the length of

    → O P and ^ u

    be the unit vector along

    → O P . Then,

    Q.

    Let ^ a , ^ b a n d ^ c

    be three unit vectors such that

    ^ a × ( ^ b × ^ c ) = √ 3 2 ( ^ b + ^ c ) . If ^ b is not parallel to ^ c

    , then the angle between

    ^ a and ^ b is

    Q. If

    ^ a , ^ b and ^ c

    are unit vectors satisfying

    | ^ a − ^ b | 2 + | ^ b − ^ c | 2 + | ^ c − ^ a | 2 = 9 , then | 2 ^ a + 5 ^ b + 5 ^ c | is

    Q. Let

    ^ a , ^ b , ^ c

    are three unit vectors such that

    ^ a + ^ b + ^ c

    is also a unit vector. If pairwise angles between

    ^ a , ^ b , ^ c are θ 1 , θ 2 and θ 3 respectively then cos θ 1 + cos θ 2 + cos θ 3 equals?

    Q. If three unit vector

    ^ a , ^ b , ^ c satisfy ^ a + ^ b + ^ c = ^ 0

    , then the angle between

    ^ a and ^ b is View More EXPLORE MORE Unit Vectors

    Standard XII Physics

    स्रोत : byjus.com

    If vec(a) and vec(b) are unit vectors inclined at an angle theta, then prove that sin""(theta)/(2) = (1)/(2)

    If vec(a) and vec(b) are unit vectors inclined at an angle theta, then prove that sin""(theta)/(2) = (1)/(2)|hat(a) - hat(b)|.

    Home > English > Class 12 > Maths > Chapter > Vector Algebra >

    If vec(a) and vec(b) are unit ...

    If a ⃗ a→ and b ⃗ b→

    are unit vectors inclined at an angle

    θ θ , then prove that sin θ 2 = 1 2 ∣ ∣ a ˆ − b ˆ ∣ ∣ sinθ2=12|a^-b^| .

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    Updated On: 27-06-2022

    Text Solution Answer

    The correct Answer is

    1 2 ∣ ∣ a ˆ − b ˆ ∣ ∣ 12|a^-b^| Answer

    Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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