Question

1. A vector of magnitude two units lies in XY plane. It is inclined at 300 with a positive X-axis and at 600 with a positive Y-axis. Another vector of magnitude 5 units lies​

Answer 1

Converting the vectors into catesium from

A

=∣

A

∣

i

^

=6

i

^

B

=∣

B

∣[cosθ

i

^

+sinθ

j

^

]=4[cos30

o

i

^

+sin30

o

]

B

=2.(3

i

^

+2

j

^

So,

A

×

B

=

∣

∣

∣

∣

∣

∣

∣

∣

i

^

6

2

3

j

^

0

2

k

^

0

0

∣

∣

∣

∣

∣

∣

∣

∣

=(0.0−2.0)

i

^

+(2

3

.0−6.0)

j

^

+(6.2−2

3

.0)

k

^

=12

k

^

The vector

A

×

B

is 12 magnitude along the normal to the x−y plane.