Related InterviewSolutions

• If the direction cosines of a variable line in two adjacent points be `l, M, n and l+deltal,m+deltam+n+deltan` the small angle `deltatheta`as between the two positions is given by
• If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be parallel to the line segment joining the points C(2, -3, 5) and D(-6, -15, `11), find the value of p and q.
• Show that the straight lines whose direction cosinesare given by the equations `a l+b m+c n=0a n dul^2+z m^2=v n^2+w n^2=0`are parallel or perpendicular as`(a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.`
• Find the angle made by the following vector with the coordinates axes: `(hati+hatj+hatk)``(hatj-hatk)` `(hati-4hatj+8hatk)`
• Find the coordinates of the foot of perpendiculardrawn from th point `A(1,8,4)`to the line joining the points `B(0,-1,3)a n dC(2-3,-1)dot`
• Find the angle between two lines whose directionratios are proportional to `1,1,2a n d(sqrt(3)-1),(-sqrt(3)-1),4`.
• Find the angle between the vectors `vecr_(1)=(3hati-2hatj+hatk) and hatr_(2)=(4hati+5hatj+7hatk)`.
• Find the direction of a line whose direction ratio are `2, -6, 3`.