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If |bar(a)|=|bar(b)|, then necessarily i...

If `|bar(a)|=|bar(b)|`, then necessarily it implies `bar(a)=+-bar(b)`.

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If |bar(a)+bar(b)|=|bar(a)-bar(b)| , then the vectors bar(a) and bar(b) are orthogonal.

If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) = ……………

Knowledge Check

  • If |bar(x)+bar(y)|=|bar(x)-bar(y)| , then

    A
    `bar(x)` is parallel to `bar(y)`
    B
    `bar(x)_|_bar(y)`
    C
    `|bar(x)|=|bar(y)|`
    D
    `bar(x)=bar(y)`

  • If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

    A
    `cos^(-1)""(3)/(4)`
    B
    `cos^(-1)""(3)/(5)`
    C
    `cos^(-1)""(4)/(5)`
    D
    `(pi)/(4)`

  • For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )| then the value (bar(b)-bar(a)).(bar( c )-(bar(a)+bar(b))/(2))= ………..

    A
    0
    B
    `-1`
    C
    1
    D
    2

    • Similar Questions

    Explore conceptually related problems

    If bar(a)+bar(b)+bar( c )=0 , then show that bar(a)xx bar(b)=bar(b)xx bar( c )=bar( c )xx bar(a) . Interpret the result geometrically.

    If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

    If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+bar( c ))*[(bar(a)+bar(b)) times (bar( a )+bar(c))] = ……………

    If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)= ……………

    If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=2,|bar(b)|=3 and |bar( c )|=5 , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) is ………..

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