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Let bar(a)=bar(i)+2bar(j)+3bar(k)andbar(...

Let `bar(a)=bar(i)+2bar(j)+3bar(k)andbar(b)=3bar(i)+bar(j)`. . Find a unit vector in the direction of `bar(a)+bar(b)`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(34))(4bar(i)+3bar(j)+3bar(k))`
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Explore conceptually related problems

Let bar(a) = bar(i)+2bar(j)+3bar(k) and bar(b) = 3bar(i)+bar(j) . Find the unit vector in the direction of bar(a)+bar(b) .

Let bar(a)=bar(i)+2bar(j)+3bar(k) and bar(b)=3bar(i)+bar(j) find the unit vector in the direction of bar(a)+bar(b) .

Knowledge Check

  • If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) then the vector in the direction of bar(a) and having magnitude as abs(bar(b)) is

    A
    `1/3(bar(i)+2bar(j)+2bar(k))`
    B
    `7/3(bar(i)+2bar(j)+2bar(k))`
    C
    `5/3(bar(i)+2bar(j)+2bar(k))`
    D
    `2/3(bar(i)+2bar(j)+2bar(k))`

  • If bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k), bar(c)=bar(i)+bar(k) , then the unit vector in the opposite direction of bar(a)-2bar(b)+3bar(c) is

    A
    `1/(3sqrt(2))(4bar(i)-bar(j)+bar(k))`
    B
    `-1/(3sqrt(2))(4bar(i)-bar(j)+bar(k))`
    C
    `1/(3sqrt(2))(bar(i)-4bar(j)+bar(k))`
    D
    `1/(3sqrt(2))(bar(i)+bar(j)-4bar(k))`

    • Similar Questions

    Explore conceptually related problems

    Let bar(a) = bar(i) + 2 bar(j) + 3 bar(k) and bar (b) = 3 bar(i) + bar(j) . Find the unit vector in the direction of bar(a) + bar(b)

    If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=2bar(i)-3bar(j)-bar(k) , find the unit vector in the direction of bar(a)+bar(b) .

    If bar(a)=2bari+4barj-5bark,bar(b)=bar(i)+bar(j)+bar(k)and bar(c)=bar(j)+2bar(k) . Find the unit vector in the opposite direction of bar(a)+bar(b)+bar(c) .

    Let bar(a) = 2 bar(i) + 4 bar(j) - 5 bar(k) , bar(b) = bar(i) + bar(j) and bar(c) = bar(j) + 2 bar(k) . Find the unit vector in the opposite direction of bar(a) + bar(b) + bar(c)

    Let bar(a) = 2bar(i) +4bar(j)-5bar(k), bar(b) = bar(i)+bar(j)+bar(k), bar(c ) = bar(j)+2bar(k) . Find the unit vector in the opposite direction of a + b + c

    Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k) and if theta is the angle between bar(a), bar(b) then find sin theta .

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