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WorksheetsVECTOR PRODUCT
Total questions: 10
Worksheet time: 15mins
What will we get when we take cross product between two vectors?
A scalar
A perpendicular vector
A point on the plane
A point on the line
The vector product of u and v is zero, therefore...
vectors u and v are parallel
vectors u and v are perpendicular
vectors u and v are equal
vectors u and v are multiples
The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False.
True
False
The vector product of two vectors is given by area of the parallelogram. State True/False.
True
False
1
2
6
3
Identify the correct vector identity.
i . i = j . j = k . k = 0
i X j = j X k = k X i = 1
i . j = j . k = k . i = 1
None of the above
The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is,
a) 3i – 11j + 7k
b) -3i + 11j + 7k
c) -3i – 11j – 7k
d) -3i + 11j – 7k
The cross product of the vectors axb for a=-2i -j +2k and b=4i + 2j +mk is
a) -(m+4)i+(2m+8)j
b) (m+4)i+(2m+8)k
c) -(m+4)i-(2m+8)j
d) -(m+4)i+(2m+8)k
The cross product of the vectors axb=-(m+4)i+(2m+8)j for a=-2i -j +2k and b=4i + 2j +mk. Find the value of m if a and b are parallel vectors.
a) 8
b) 5
c) 4
d) 0
