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Compute the magnitude of the following v...

Compute the magnitude of the following vectors :
`veca=hati+hatj+k,vecb=2hati-7hatj-3hatk,vecc=(1)/(sqrt(3))hati+(1)/(sqrt(3))hatj-(1)/(sqrt(3))hatk`

Text Solution

Verified by Experts

The correct Answer is:
`|veca|=sqrt(3),|vecb|=sqrt(62),|vecc|=1`
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Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

Find |vecaxxvecb| , if veca=2hati+hatj+3hatkand vecb=3hati+5hatj-2hatk

Knowledge Check

  • If veca=hati+4hatj, vecb=2hati-3hatj, vecc=5hati+9hatj" then "vecc is equal to

    A
    `2veca+b`
    B
    `veca+2vecb`
    C
    `3veca+vecb`
    D
    `3veac+3vecb`

  • If M_(1),M_(2),M_(3) "and" M_(4) , are respectively the magnitudes of the vectors a_(1)=2hati-hatj+hatk, a_(2)=-3hati-4hatj-4hatk, a_(3)=-hati+hatj-hatk, a_(4)=-hati+3hatj+hatk , then the correct order of M_(1),M_(2),M_(3) "and" M_(4) is

    A
    `M_(3)ltM_(1)ltM_(4)ltM_(2)`
    B
    `M_(3)ltM_(1)ltM_(2)ltM_(4)`
    C
    `M_(3)ltM_(4)ltM_(1)ltM_(2)`
    D
    `M_(3)ltM_(4)ltM_(2)ltM_(1)`

    • Similar Questions

    Explore conceptually related problems

    Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

    Find |vecaxxvecb|, if veca=hati-7hatj+7hatkandvecb=3hati-2hatj+2hatk .

    Find the scalar and vector products of two vectors a=(3hati-4hatj+5hatk)andb=(-2hati+hatj-3hatk)

    Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

    find vecA xx vecB if vecA = hati - 2 hatj + 4 hatk and vecB = 3 hati - hatj + 2hatk

    Find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8hatk .

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