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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

  • For the vectors vec(x) and vec(y),vec(x)+vec(y)=vec(a),vec(x)xx vec(y)=vec(b) and vec(x).vec(a)=1 then vec(x) = ………….., vec(y) = ……….

    A
    `vec(a),vec(a)-vec(x)`
    B
    `vec(a)-vec(b),vec(b)`
    C
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    D
    None of these

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