MTH103
Which of the following is not a type of vectors?
Answer: magnitude of vector
If \\(A=2i-3j-k\\) and \\(B=i+4j-2k\\), determine the cross product \\(A\\times B\\)
Answer: \\(10i+3j+11k\\)
A line is said to be straight when it has a constant?
Answer: gradient
Which of the following quantities has magnitude but no direction?
Answer: speed
If force p of 40N acts in the direction due east and force q of 30N acts in the direction of due north, find the magnitude of the vector sum.
Answer: 50n
Find the sum \\(\\bar{BC}- \\bar{DC}+\\bar{DE}+\\bar{FE}\\)
Answer: \\(\\bar{bf}\\)
Find the point of intersection of the two loci \\ (3x-y-5=0\\) and \\(12x+y-25=0\\).
Answer: (2,1)
Two vectors moving in the same direction with equal magnitude is called?
Answer: equal vector
Find the anglebetween \\(A=2i+2j-k\\) and \\ (B=6i-3j+k\\)
Answer: \\(\\theta=79^0\\)
One of the following quantities has magnitude and direction
Answer: displacement
Avector having unit magnitude is called?
Answer: unit vector
If \\(p=2i+4j+3k\\) and \\(q=i+5j-2k\\), obtain \\ (pWtimes q\\)
Answer: \\(-23i+7j+6k\\)
Given \\(z=4+3i\\), evaluate \\(|z|\\)
Answer: 5
The scalar product of two vectors a and b can defined as?
Answer: \\(a*b=|a||b|cos\\theta\\)
Determine the radius of the circle \\ (4xA2+4yA2-12x=-5\\)
Answer: 1
If \\(a=3i+4j-12k\\), \\(b=i+11k\\) and \\(c=i- j+k\\). Find \\(|a+b+c|\\)
Answer: \\(\\sqrt{35}\\)
If \\(a=3i-2j+k\\), \\(b=2i-4j-3k\\) and \\(c=- i+2j+2k\\), find the magnitude of \\(a+b+c\\)
Answer: \\(4\\sqrt{2}\\)
Find the unit vector parallel to the resultant \\ (a+b\\) if \\(a=2i+4j-5k\\) and \\(b=i+2j+3k\\)
Answer: \\(\\frac{3i+6j-2kK7}\\)
Determine the length of the intercept of the equation \\(5x-2y-4=0\\)
Answer: -2
Give the simplified form of equation of line passing through the points (3, 4) and (6, 8).
Answer: \\(3y=4x\\)
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