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Dot product of a vector with vector 3hat...

Dot product of a vector with vector `3hat(i)-5hat(k),2hat(i)+7hat(j)andhat(i)+hat(j)+hat(k)` are respectively -1,6 and 5. Find the vector.

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Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat(j),7hat(i)+3hat(j)+2 hat(k)

Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+3hat(j)-4hat(k),-hat(j)+2hat(k)

Knowledge Check

  • A vector perpendicular to both hat(i) + hat(j) + hat(k) and 2hat(i) + hat(j) + 3hat(k) is,

    A
    `2hat(i) + hat(j) - hat(k)`
    B
    `2hat(i) - hat(j) - hat(k)`
    C
    `3hat(i) + hat(j) + 2hat(k)`
    D
    `3hat(i) + hat(j) - 2hat(k)`

    • Similar Questions

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