Vector Algebra questions
907 published questions with worked solutions.
- The distance between the lines x 2 = y -1 = z 2 and x-1 2 = y-1 -1 = z-1 2 is
- If a+2 b+3 c= 0 and ( a b)+( b c)+( c a)= ( b c), then has the value
- The position vectors of vertices of are 4 i-2 j; i+4 j-3 k and - i+5 j+ k, respectively, then ABC=
- The Cartesian equation of a line is x+2 3 = y-4 2 = z-5 5 , then the vector equation of the line is
- If a , b , c are position vectors of points A, B, C respectively, with 2 a +3 b -5 c = 0 , then the ratio in which point C...
- If a and b are two vectors such that | a |=| b |= 2 with a b =-1, then the angle between a and b is
- The vector projection of b on a , where a =3 i +2 j +5 k and b =7 i -5 j - k is
- Given three vectors a , b , c , two of which are collinear. If a + b is collinear with c and b + c is collinear with a , | a |=|...
- If the position vectors of the points A and B are 3 i + j +2 k and i -2 j -4 k respectively, then the equation of the plane...
- If a and b are vectors such that | a| = 3, | b| = 2 and a b = 5, then | a - b| =
- The position vector of a point that divides the line segment joining P (1, 2, -1) and Q (-1, 1, 1) externally in the ratio 1 : 2,...
- The vector equation of the line passing through the point having position vector 2 i + j - 3 k and perpendicular to vectors i + j...
- If angle between the vectors a = 2 ^2 i + 4 j + k and b = 7 i - 2 j + k is obtuse, then the values of lie in
- If | a| = 5, | b| = 3, | c| = 4 and a is perpendicular to b and c such that angle between b and c is 5 6 , then [ a b c] =
- Let a, b, c be vectors of lengths 3, 4, 5 respectively. Let a be perpendicular to b+ c, b be perpendicular to c+ a and c be...
- If | a|= 26 , | b|=7 and | a b|=35, then a b is
- Let a=2 i+ j-2 k, b= i+ j and c be a vector such that | c- a|=3. If p= a b, then the angle between p and c is 6 and | p c|=3....
- The shortest distance between the lines x-3 3 = y-8 -1 = z-3 1 and x+3 -3 = y+7 2 = z-6 4 is
- If | a|=5, | b|=13 and | a b|=25. If 2 < < , where is angle between a and b, then a b has the value
- If the vectors 2 i+3 j+6 k and b are collinear and | b|=14, then b has the value
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration