The position vector of the image of the point `vec a` in the planer `vec r .hat n = d` must be `(d != 0)`

If A is a point with position vector vec a then perpendicular distance of A from the plane vec r*widehat n=d must be

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k are two vectors. The position vectors of the points Aa n dC are =6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k respectively. Find the position vector of a point P on the line A B and a point Q on the line C D such that vec P Q is perpendicular to vec A Ba n d vec C B both.

vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k are two vectors. The position vectors of the points Aa n dC are =6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k respectively. Find the position vector of a point P on the line A B and a point Q on the line C D such that vec P Q is perpendicular to vec A Ba n d vec C B both.

The expression in the vector form for the point vec r_1 of intersection of the plane vec rdot vec n=d and the perpendicular line vec r= vec r_0+t vec n where t is a parameter given by

The expression in the vector form for the point vec r_1 of intersection of the plane vec rdot vec n=d and the perpendicular line vec r= vec r_0+t vec n where t is a parameter given by

The position vectors of four points A, B, C and D in the plane are vec(a),vec(b),vec( c ) and vec(d) . If (vec(a)-vec(d)).(vec(b)-vec( c ))=(vec(b)-vec(d)).(vec( c )-vec(a))=0 then D is a ………………is DeltaABC .

Find the image of the point having position vector hat i+2 hat j+4 hat k in the plane vec r.(2 hat i- hat j+ hat k)+3=0.

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is