```
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```Question: Given vector ui3j 6k v2i6j 12k and  w3i9j 18k  What is the relationship between u v and  w

Question: What is the vector product of a2ijk and  b4i2j 3k

Question: Find the acute angle to the nearest degree angle between the vectors a3i4j and b5i12j

Question: Determine the scalar product of the vectors u2i3j 6k and v3i 6j 2k

Question: A car is driven eastward for a distance of 5km then northward for 3km Determine the total displacement of the car from its starting point to the nearest km

Question: Find a vector that is of magnitude 6 units and is collinear to the vector ij

Question: Find the equation of a line passing through the point 1 1 and perpendicular to the liney3x 50

Question: A straight line whose gradient is  2 passes through a point of intersection of the lines 4x5y7 and  2x5y 10 Find its equation

Question:  Determine the equation of a circle of radius 4 with centre 2 2

Question: Determine the coordinated of the centre and radius of a circle 2x22y24x4y 50

Question: Find the acute angle to the nearest degree angle between the vectors a3i4j andb5i12j

Question: If the point C2  1 be the centre of a circle that passes through the point A  22 find the equation of the circle

Question:  Find the area of a triangle with vertices 3 1 0 0 and 1 2

Question: P Q and R are points 1  6 3 6 and 5 2 respectively Determine the length of the line joining the mid points of PQ and QR

Question: Find the equation of a straight line passing through the points 2 3 and  2 5

Question: Find the values of x on the curve   yx33x3 6x 10  where the gradient is 3

Question: Find the equation of the tangent to the curve   yx3 x2 at the point 1 0

Question: Find the equation of the normal to the curve  yx3 x2   at the point 1 1

Question: If r  2i  4j s  2i  6j t  3i  j find 2r ts

Question: If r   2i  4j s  2i  6j t  3i  j find magnitude of the vector 2r ts

Question: Let Z1  6i  4j 4k  Z2  i  6j  k find magnitude of the vector  Z1 Z2

Question: Find the unit vector in the direction of vector b  3i  4j  5k

Question: Determine the direction cosines l m n of the vector 3i  2 j 6k

Question: The scalar product of vectors a and b where theta is the angle between them is

Question: Determine the scalar product of vectors 2i 3 j  5k and 4i  j  6k

Question:  Given a circle with centre at the origin which passes through the point  2 1 Find its equation

Question: Find the equation of the line which is parallel to the line 2y  3x  3 and passes through the midpoint of  23 and 4 5

Question: A line AB passes through the point P 3  2 with gradient  2 Determine the equation of the line CD through P perpendicular to AB

Question: Find the centre and radius of each of the circle x2  y2 2x  6y  15

Question: Determine the equation of a straight line passing through the point 1 0 and 2  3

Question: Determine the gradient of a straight line passing through the point 1 6 and  3  3

Question: In triangle ABC the points L M N are the midpoints of the sides AB BC and CA respectively Which these expressions is true

Question:  is the component contributions of the basis to the unit vector

Question: ABCD is a square quadrilateral with T and U the mid points of SP and  QR respectively Which expressions is true

Question: When two vectors are at right angles to each other the dot product is

Question:  in analytic geometry of vector are the cosines of angles between the vector and the three coordinate axes

Question: If a10 b13 and the angle between a and b is 595 degree what is the scalar product of a and b

Question: If ii  1 then ij

Question: if aa1ia2ja3k and bb1ib2jb3k find ab

Question: Find lmn of the vector r  2i  4j  3k

Question:  is a vector as a way of determining the magnitude and direction in its coordinate of x and y axis

Answer:Component of a vector in terms of unit vector

Question:  is defined as the ratio of the vertical distance the line rises or falls to the horizontal distance

Question: The Locus of points at a distance of 3 from the point 0 0 is given by the equation

Question: In Cartesian Coordinates the coordinates are given by the position

Answer:of a point in a plane

Question: The coordinates of the midpoint of a line segment is

Answer:the average of the coordinates of the endpoints

Question: The coordinate of the centre and the radius of the circle y2x2 14x 8y560  will be

Answer:7 4 are the coordinates or centre of the circle while 3 is the radius

Question: if a3i4j5k  and b2ij7k Find ab

Question: If a  2i  4j  3k and b  i  5j  2k Find the vector product of a and b

Question: What is the gradient of the straight line and the angle of inclination of the points  A2  3 and B4 5

Question: If A is 3 6 and B is 4 8 Find the coordinate of the midpoint of AB