5B Pec Akhir 1 (AR1) MT Vectors, (ndices,Surds & Log 27/7/21

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

Write the vector from C to A...

• a

• -a

• b

• -b

Write the vector from A to D...

• a + b

• -a + b

• b - a

• a - b

Write the vector from A to C...

• x + z

• x + y

• x - z

• x - y

• OB + BC = OC

• OA + AC = OC

• CB + B0 = -OC

• OD = 0.5(OA + AC)

Simplify  $\frac{3^n\times9^{n+1}}{3^{n-1}\times9^{n-1}}$ .

• 3

• 27

• 81

• 243

Simplify log₃ 9 + log₃ 27.

• −1

• 4

• 5

• 1

Simplify log₂ (2x + 1) – 5 log₄ x² + 4 log₂ x.

• $\log_2\left(\frac{1}{x}-2\right)$

• $\log_2\left(2-\frac{1}{x}\right)$

• $\log_2\left(1+\frac{1}{x}\right)$

• $\log_2\left(2+\frac{1}{x}\right)$

Given log₂ b = x and log₂ c = y, express log₄ (8b/c ) in terms of x and y.

• $\frac{1}{2}\left(2+x-y\right)$

• $\frac{1}{2}\left(3+x-y\right)$

• $\frac{1}{2}\left(2+x+y\right)$

• $\frac{1}{2}\left(3-x+y\right)$