MATH - Vector Analysis
Quiz by Florenzo Miguel Aclan (Florencii)
Feel free to use or edit a copy
includes Teacher and Student dashboards
Measure skillsfrom any curriculum
Measure skills
from any curriculum
Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.
With a free account, teachers can
- edit the questions
- save a copy for later
- start a class game
- automatically assign follow-up activities based on students’ scores
- assign as homework
- share a link with colleagues
- print as a bubble sheet
30 questions
Show answers
- Q1Given are magnitudes of vectors A and B which are 26 and 17 respectively. Find /AxB/ if the angle between them is pi/6.12144122132130s
- Q2Given the vector V = i + 2j + k, what is the angle between V and the x- axis?22°80°24°66°30s
- Q3What is –i^i?4.81-4.81-0.210.2130s
- Q4Write the vector of length 2 and direction 150 degrees in the form ai + bj.1.73i – j-1.73i – j1.73i + j-1.73i + j30s
- Q5Find the work done in moving an object along a vector a = 3i+4j if the force applied is b = 2i+j.98101230s
- Q6For what value of a will the vector A = (axy – z^3)i + (a – 2) x^2 j + (1 – a) xz^2k have curl identically equal to zero.452330s
- Q7Evaluate ∇ ● (/r/³ r) if r = xi + yj + 2k and /r/ = sq.rt of (x² + y² + z²)6/r/³4/r/²2/r/²3/r/³30s
- Q8Find a unit vector which is perpendicular to the surface of the paraboloid of revolution z = x2 + y2 at the pt (1,2,5)(2i + 4j – k) / sq.rt of 21(2i + 4j – k) / sq.rt of 5(2i + 4j – k) / sq.rt of 12(2i + 4j – k) / sq.rt of 730s
- Q9If A = xz² i + 2yj – 3xzk and B = 3xzi + 2yzj – z² k, find A x (∇ x B) at the point (1, -1, 2).18i + 12j + 16k-18i – 12j + 16k18i – 12j – 16k18i – 12j + 16k30s
- Q10Find the divergence of the vector field. A = 3y⁴z²i + 4x²z² j – 3x²y²k10015530s
- Q11Given are A = i – 2j+3k and B = 3i + j+2k. Find the unit vector perpendicular to both A and B.(i - j - k) / sq.rt of 3(i - j + k) / sq.rt of 3(i + j + k) / sq.rt of 3(-i + j + k) / sq.rt of 330s
- Q12Find the area of the area of the parallelogram with adjacent sides represented by i – 2j + 3k and 2i + j + 4k.12.2524.496.9317.3230s
- Q13Solve for the magnitude of a force which must be added to the following two vectors forces 2i – 7k and 3j + 2k to give a resultant of 7i – 6j – k (all are in Newton).10N11N9N8N30s
- Q14Compute the angle which the position vector 3i – 6j + 2k makes with the y-axis.149°154°157°146°30s
- Q15Solve for a such that the 3 vectors 2i – j + k, 1 + 2j – 3k and 3i + aj + 5k are coplanar vectors.42-2-430s