The ratio in which i + 2j + 3k divides t...

The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7i - k is

`1:2`

`2:3`

`3:4`

`1:4`

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The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) is

Find the ratio in which the point bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) .

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A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc

The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is

The area of the triangle whose sides are given by 2i - 7j + k and 4j- 3k is

A unit vector perpendicular to 2i + 3j + 4k and 4i - 3j + 2k is

If a = i + j + k, b = 2i + 3j, c = 3i + 5j - 3k and d = k + j, then the ratio of moduli of b - a and d - c is

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