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Find the non-parametric form of vector e...

Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector `4hat(i)+3hat(j)-7hat(k)" and parallel to the vector "2hat(i)-6hat(j)+7hat(k).`

Text Solution

Verified by Experts

The correct Answer is:
` (z+7)/(7) `
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Find the vector and Cartesian equations of the plane passing through the point with position vector 2hat(i)+6hat(j)+3hat(k)" and normal to the vector "hat(i)+3hat(j)+5hat(k).

Find the parametric form of vector equation, and Cartesian equations of the plane containing the line vec(r)=(hat(i)-hat(j)+3hat(k))+t(2hat(i)-hat(j)+4hat(k))" and perpendicular to plane "vec(r)*(hat(i)+2hat(j)+hat(k))=8.

Knowledge Check

  • The projection of the vector hat i + hat j + hat k along the vector hat j is

    A
    1
    B
    0
    C
    2
    D
    `-1`

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    Find the non-parametric form of vector equation, and Cartesian equations of the plane vec(r)=(6hat(i)-hat(j)+hat(k))+s(-hat(i)+2hat(j)+hatk)+t(-5hat(j)-4hat(j)-5hat(k))

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