Math 12 Chapter 7VectorsTest - 8

Math 12 Chapter 7
Vectors
Test - 8

1. ^®a. ( ^®b x ^®a) = 0

a) None of them
b) Vectors ^®-a & ^®-b Are coplanar
c) Vectors ^®b & ^®a Are coplanar
d) Vectors ^®a & ^®b Are coplanar

2. (2i) x (3k)

a) 6k
b) -6j
c) jk
d) 6j

3. a x a

a) 0
b) a
c) 1
d) -1

4. a. (b x c)

a) Volume of a parallelepiped
b) volume of tetrahedron
c) None of them

5. (2i + 3j + 6k) . (i + 5j + 3k)

a) Work done = 35
b) Work done = 45
c) Work done = 65
d) Work done = 50

6. (2i - 3j).(I+j-k) x (3i-k)

a) 24
b) 40
c) -4
d) 4

7. (3i) x (-2k)

a) j
b) 6
c) 6j
d) -6j

8. [(3i-j+2k)x(2i+j-k)]x(I-2j+k)

a) 17i+6j-5k
b) 17i-6j-5k
c) 17i+8j-5k
d) 17i+6j+5k

9. a. (a x c)

a) c
b) 3
c) a
d) 0

10. k. (i x j)

a) 0
b) 1
c) k
d) i

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