The distance between a point P whose position vector is `5i +j + 3k` and the line `r = (3i + 7j + k) + t ( j + k)` is

The distance between a point P whose position vector is 5bar(i)+bar(j)+3bar(k) and the line bar(r)=(3bar(i)+7bar(j)+bar(k))+t(bar(j)+bar(k))

The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k and -3i - 2j - 5k

The three points whose position vectors are i+2j+3k, 3i+4j+7k, and -3i-2j-5k

The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and the plane vec r . (i+5j+k) = 5 is

The triangle formed by the three points whose position vectors are 2i + 4j -k , 4i +5j + k and 3i + 6j - 3k , is

The distance between the points i + 6j + 7k, -3i + 4j + 3k is

The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4i + 2j + 3k are the vertices of