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# (Solved): Multiple Choice: [10 Marks] If vec(u)=[2,3,4] and vec(v)=[-7,-6,-5] find 2vec(u)-3vec(v) a) 9,9,9 b ...

Multiple Choice: [10 Marks] If

vec(u)=[2,3,4]

and

vec(v)=[-7,-6,-5]

find

2vec(u)-3vec(v)

a)

9,9,9

b)

-17,-12,-7

c)

25,24,23

d)

25,-12,9

If

vec(u)=[2,3,4]

and

vec(v)=[-7,-6,-5]

find

|2vec(u)-3vec(v)+5hat(j)|

a)

\sqrt(2525)

b)

\sqrt(1995)

c)

\sqrt(625)

d)

\sqrt(588)

If

vec(u)=[2,3,4]

and

vec(v)=[-7,-6,-5]

find

vec(u)*vec(v)

a)

-14,-18,-20

b) -27 c)

-9,-9,-9

d) -52 If

vec(u)=[2,3,4]

and

vec(v)=[-7,-6,-5]

find

vec(w)

orthogonal to both

vec(u)&vec(v)

a)

9,-18,9

b)

\sqrt(486)

c)

-14,-18,-20

d)

9,9,9

If

|vec(u)|=4,|vec(v)|=7

and the angle between these vectors is

147\deg

then

vec(u)*vec(v)

is: a) 15.2 b) 23.5 c) -15.2 d) -23.5 If

|vec(u)|=4,vec(v)|=7

and the angle between these vectors is

147\deg

then

vec(u)\times vec(v)

is: a) 15.2 b)

23.5hat(n)

c)

15.2hat(n)

d) -23.5 Simplify:

3vec(u)+4vec(v)-8(vec(u)-2vec(v))

a)

-5vec(u)+2vec(v)

b)

-5vec(u)+20vec(v)

c)

4vec(u)+2vec(v)

d)

-5vec(u)+6vec(v)

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