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A : If the positon vectors of A, B are (...

A : If the positon vectors of A, B are (2, 3, 5), (1, 1, 7) then the unit vector in the direction of `vec(AB)` is `(-i-2j+2k)/(3)`
R : Unit vector in the direction of `vec(AB)` is `(vec(AB))/|vec(AB)|`

A

A, R are correct, R is correct explanation of A

B

A, R are correct, R is not correct explanation of A

C

A is correct, R is false

D

A is false, R is correct

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If the position vectors of A = (2, 3, 5), B = (1, 1, 7) then the unit vector in the direction of vec(A)B is

    A
    `(2i+j+2k)/(3)`
    B
    `(-i-2j+2k)/(3)`
    C
    `(2i+3j+6k)/(7)`
    D
    `(-i+2j+6k)/(7)`

  • If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then the unit vector in the direction of vec(A)B is

    A
    `(2i+j+2k)/(3)`
    B
    `(-i-2j+2k)/(3)`
    C
    `(2i+3j+6k)/(7)`
    D
    `(-i+2j+6k)/(7)`

  • If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3bar(j)+8bar(k) then the unit vector in the direction of vec(AB) is

    A
    `(2bar(i)+bar(j)+2bar(k))/3`
    B
    `(-bar(i)-2bar(j)+2bar(k))/3`
    C
    `(2bar(i)+3bar(j)+6bar(k))/7`
    D
    `(-bar(i)+2bar(j)+6bar(k))/7`

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