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State whether the following relations ar...

State whether the following relations are true or false
(1)`vec(AB)=vec(BA)`
(2)`vec(AB)=-vec(BA)`
(3)`|vec(AB)|=|vec(BA)|`
(4)`|vec(AB)|=|-vec(AB)|`
(5)`hatj=hatk`
(6)`|hatj|=|hatk|`

Text Solution

Verified by Experts

The correct Answer is:
(i) False (ii) True (iii) True (iv) True (v) False (vi) True
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Knowledge Check

  • In a quadrilateral ABCD, vec(AB) + vec(DC) =

    A
    `vec(AB) + vec(CB)`
    B
    `vec(AC) + vec(BD)`
    C
    `vec(AC) + vec(DB)`
    D
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  • In a right angled triangle hypotenuse AC= p, then vec(AB). vec(AC ) + vec(BC) .vec(BA) + vec(CA). vec(CB) equal to ?

    A
    `p^(2)`
    B
    `2p^(2)`
    C
    `(p^(2))/(2)`
    D
    p

  • In a triangle ABC, if taken in order, consider the following statements 1. vec(AB) + vec(BC) + vec(CA) = vec(0) 2 vec(AB) + vec(BC) - vec(CA) = vec(0) 3. vec(AB)- vec(BC) + vec(CA) = vec(0) 4. vec(BA)- vec(BC) + vec(CA) = vec(0) How many of the above statements are correct?

    A
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    B
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    C
    Three
    D
    Four

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