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(A): The resultant of vecp and vecQ make...

(A): The resultant of `vecp and vecQ` makes the angles `alpha and beta` with `vecP and vecQ` respectively. If `|vecP|lt | vecQ|` then `beta lt alpha`
(R) : Resultant is always closer to the vector of larger magnitude.

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true and (R) is not the correct explanation of (A)

C

(A) is true but (R) is false

D

Both (A) and (R) are fals

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • (A) : The resultant of vecP and vecQ makes the angles alpha and beta with vecP and vecQ respectively. If |vecP|>|vecQ| then beta>alpha ( R) : Resultant is always closer to the vector of larger magnitude

    A
    Both (A) and ( R) are ture and ( R) is the correct explanation of (A)
    B
    Both (A) and ( R) are true and ( R) is not the correct explanation of (A)
    C
    (A) is true but ( R) is false
    D
    Both (A) and ( R) are false

  • The resultant of vec(A) and vec(B) makes angle alpha with vec(A) and beta " with " vec(B) . Then:

    A
    `alpha lt beta`
    B
    `alpha lt beta " if " A lt B`
    C
    `alpha lt beta " if . A gt B`
    D
    `alpha lt beta " if " A = B`

  • If vecP=i+j+2k and vecQ=3i-2j+k , the unit vector perpendicular to both vecP and vecQ is

    A
    `(hati+hatj-hatk)/(sqrt(3))`
    B
    `5(hati+hatj-hatk)`
    C
    `(1)/(sqrt(3)) (hati-hatj+hatk)`
    D
    `(1)/(25)(hati+hatj-hatk)`

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