Given two vectors `veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj + 2hatk`

Given two vectors `veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj -hatk`

Valume of parallelpiped formed by vectors `veca xx vecb, vecb xx vecc and vecc xx veca ` is 36 sq. units.

In the given figure, what is the radius of the inscribed semicircle having base on AB ?

In the given figure, AB is the diameter of the circle, centered at O. If `angleCOA = 60^(@), AB = 2r, AC = d, and CD = l`, then l is equal to

In `DeltaABC, P,Q, R` are the feet of angle bisectors from the vertices to their opposite sides as shown in the figure. `DeltaPQR` is constructed

If `angleBAC = 120^(@)`, then measusred of `angleRPQ` will be

In `DeltaABC, P,Q, R` are the feet of angle bisectors from the vertices to their opposite sides as shown in the figure. `DeltaPQR` is constructed

If `AB = 7` units, BC = 8 units, AC = 5 units, then the side PQ will be

Let O be the circumcenter, H be the orthocenter, I be the incenter, and `I_(1), I_(2), I_(3)` be the excenters of acute-angled `DeltaABC`

In acute -angled triangle ABC

In triangle ABC, AD is prependicular to BC and DE is perpendicular to AB