In matrix algebra what (a) must be equal to what (b) to allow multiplication 



A scalar is determined by a .. 



A vector is determined by two things 



In mathmatical notation vectors are denoted in 



what vector moves a point in space? 



what is a vector with a magnitude of 1 called? 



what does this P1>P2 represent? 



if two nonzero vectors have the same direction they are said to be? 



if they travel in the opposite direction they are? 



vectors that have either of the two previous traits can be called? 



a vector v2 with the same magnitude and opposite direction as v1 can be thought of as its.. 



the zero vector can be thought of as what to any other vector 



If a vector V1 moves point P1 to P2 and a Vector V2 moves a point P2 to P3 then the combined effect of v1 and v2 is.. 



position vectors are relative to the... 



position vectors can also be called... 



given two points P1 and P2 how do you find the vector ? 



for a point p to exist on the line P1>P2 what relationship must hold between P1,p and P1,P2? 



give the parametric vector equation of a line 



given a non zero vector (a) that is colinear with a vector (v) give the equation for v in terms of a. 



given a non zero vector (a) that is parallel with a vector (v) give the equation for the scalar s that links them. 



given a non zero vector (a) that is antiparallel with a vector (v) give the equation for the scalar s that links them. 



given a vector v that lies on the plane AOB give the equation of (v) in terms of (a) and (b). 



any vector of Euclidian 3 space is linearly dependant upon three 



s [ a , b , c ] is equal to 



Give the name of a basis whose base vectors are mutually perpendicular 



Give the name of a basis whose base vectors are mutually perpendicular and of unit length 



A cartesian space has the previous two answers attributes and what extra attribute 



given the vector [ a , b , c ] give the equation for the length 



give the equation for the dot product of two vectors a [ t, u, v ] and b [ x, y, z ] in terms of the vectors components 



give the equation for the dot product of two vectors a and b in terms of the angle between them 



what does the dot product return? 



if the dot product of two vectors is zero what is the angle between them? 



the dot product is based on the __________ of one vector onto another 



to normalise a vector you divide the vectors components by its? 



to get the projection vector of a on b what equation do we use? 



given two colinear and parallel vectors a and b what is the dot product between them? 



if we compute the scalar product of a vector v with base vector i to gain vx how do we find the cosine angle of vector v relative to the x axis 



if you compute the above for all 3 base vectors what is the name for these three angles 




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