Math 12 Chapter 7VectorsTest - 7

Math 12 Chapter 7
Vectors
Test - 7

1. I^®A x ^®BI² + I^®A - ^®BI²

a) A²B²
b) IAI IBI
c) -IAI² -IBI²
d) IAI² IBI²

2. Area of a D with vertices A(2,1,-3), B(1,1,0), C(1,-3,2)

a) Ö14
b) Ö-14
c) Ö41
d) Ö-41

3. Area of Δ with vertices A(1,3,2,) B(2,-1,1) C(-1,2,3)

a) Ö107/2
b) Ö2/107
c) Ö2/2
d) 107/2

4. If ^®A=3i-j-2k, ^®B=2i+3j+k then I^®Ax^®BI

a) Ö495
b) Ö295
c) Ö395
d) Ö195

5. a. (b x c) = 0

a) ^®a, ^®b, c are congurant
b) ^®a, ^®b, c are coplanar
c) ^®a, ^®b, c
d) ^®a, ^®b, c are non coplanar

6. (3i+2j-k).(4i-j+2k)

a) 10
b) 12
c) 14
d) 8

7. If ^®A=3i-j-2k, ^®B=2i+3j+k then I(^®A+^®B) x (^®A-^®B)I is:

a) 2Ö195
b) 12Ö195
c) 6Ö195
d) 4Ö195

8. i.(j x k)

a) -1
b) 2
c) 1
d) 3

9. I2i+j-kI

a) Ö-3
b) Ö6
c) Ö-6
d) Ö9

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