vector and calculus

Question 1

if P = B
-> H = ?

Answer 1

p✓2 or B✓2

Question 2

. 90°
|
2 ) | 1)
|
180°————————— —————————— 0°
|
3) | 4)
|
270°

Answer 2

1) all + ve
2) sin and cosec +ve (school)
3) tan and cot +ve (to)
4) cos and sec +ve (college)

Question 3

sin (90±θ) =
cos(90±θ) =
tan(90±θ) =

Answer 3

±cos
±sin
±cot

Question 4

sin (180±θ) =
cos(180±θ) =
tan(180±θ) =

Answer 4

±sin
±cos
±tan

Question 5

odd multiple of 90° i.e. 90°, 270°,450°

Answer 5

ratio converts

Question 6

even multiple of 90° i.e 180°,360°,540°

Answer 6

ratio doesn’t change

Question 7

when θ is small (1°-5° ), θ in radian

Answer 7

sinθ ≈ tanθ ≈ θ and cosθ ≈ 1

Question 8

to convert ° to radian = ?

Answer 8

a° X π/180°

Question 9

to convert radian to ° = ?

Answer 9

radian X 180/π

Question 10

1)b² - 4ac < 0
2) b² - 4ac = 0
3) b² - 4ac > 0

Answer 10

1) no real roots
2) repeated roots
3) two distinct roots

Question 11

1) cos α
2) cos β
3) cos γ

Answer 11

1) x/a ( a = root of x²+y²+z²)
2) y/a
3) z/a

Question 12

uniting vector

Answer 12

->
a ^
— => a
->
|a|