Math 12 Chapter 7VectorsTest - 4

Math 12 Chapter 7
Vectors
Test - 4

1. The angle between A = 3i + 2j - 6k and B = 4i -3j + k is:

a) 8
b) 90
c) 45
d) 60

2. Area of the triangle with vertices A (1,3,2) B (2,-1,1) and C(-1,2,3):

a) Ö107
b) 24i + 7j - 5k
c) Ö107/2
d) None of the above

3. If ^®A = 2i - 3j - k, ^®B = i + 4j - 2k then ^®A x ^®B = ?

a) 10i - f + 6k
b) None of the above
c) 10i + 3j + 11k
d) 10i + 3j - k

4. If ^®A = 2i - 3j - k, ^®B = i + 4j - 2k then what (^®A + ^®B) x (^®A-^®B) = ?

a) None of the above
b) 2i + 6j + 22k
c) -2i - 6j - 22k
d) 10i + 3j + 11k

5. If ^®A = 3i + 2j - k and ^®B = 4i - j + 2k then ^®A . ^®B = ?

a) +4
b) -8
c) 8
d) None of the above

6. ��^®A x ^®B��² +��^®A.^®B��² = ?

a) ^®BA
b) -5k
c) ��A��² ��B��²
d) None of the above

7. If three vectors a, b, c are coplanar then the scalar tripleproduct a . ( b x c) = ?

a) -1
b) ��A��² ��B��²
c) 0
d) + - 1

8. The value of (2i - 3j) . (i + j - k) x (3i - k) = ?

a) None of the above
b) 0
c) +4
d) -1

9. (2j x i) - 3k = ?

a) -5k
b) None of the above.
c) -5j
d) 5i

10. If ^®A = 3i - j + 2k, ^®B = 2i + j - k and ^®C = i - 2j + k then what is ( ^®A x ^®B) x ^®C = ?

a) 24i + 7j - 5k
b) -24i - 7j + 5k
c) 22i + 7j - 6k
d) None of the above

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