`1 :2`
`1 :3`
`3:1`
`2:1`
`r > s > q > p`
`s > r > p > q `
`r > s > p > q`
`s > r > q > p`
`7 hat i + 5 hat k`
`7 hat i + 5 hat j`
`5 hat i + 7 hat k`
`- 7 hat i - 5 hat j`
`2 AB`
`3 AB`
`4 AB`
None of these
`lamda = pm 1`
` a = | lamda |`
`a = 1/(| lamda |)`
`a = 1/ lamda `
`vecR `is parallel to` vecA`
`vecR `must be parallel to` vecB`
`vecR `must be perpendicular to ` vecB`
none of the options
`sqrt(12)`
`2 sqrt(120`
`3 sqrt(14)`
`2 sqrt(14)`
`vec a`
`2 vec a`
`3 vec a`
` vec 0`
`2/3`
`3/2`
`2`
`3`
`2 CD`
`2 DA`
`2 BC`
`2 CB`
`vec a+ vec b+vec c=vec 0`
`vec a- vec b=vec c`
`vec a+ vec b=vec c`
None of these
`m : n = RQ : PR`
`m : n = PR : RQ`
`R` is mid-point of `PQ`
None of these
all real `p`
no real `p`
`p =- 1`
`p = 1`
`148 ` units
`(148)/7 ` units
`(78)/7 ` units
None of these
`hat i - hat j - hat k`
`hat i + hat j - hat k`
`hat i + hat j + hat k`
None of these
`cos^(-1) (1 /sqrt3)`
`cos^(-1) (1 /3)`
`cos^(-1) (2 /sqrt3)`
None of these
I and II
I and III
II and III
I, II and III
`2a = b`
`a = 2 sqrt b`
`a = 2b`
`a = b`
`45°`
`60^0`
` cos^(-1) (1/3)`
` cos^(-1) (2/7)`
`vec a+ vec b+vec c=vec 0`
`vec a- vec b=vec c`
`vec a+ vec b=vec c`
None of these
all real `p`
no real `p`
`p =- 1`
`p = 1`
`BE + CF`
`BE - CF`
`CF - BE`
`- BE - CF`
`4 sqrt (2)`
`3 sqrt (2)`
`5 sqrt (2)`
`3 sqrt (3)`
I and II
I and III
II and III
I, II and III
`0^0`
`60^0`
`90^0`
`45^0`
`45°`
`60^0`
` cos^(-1) (1/3)`
` cos^(-1) (2/7)`
`(2\pi)/3`
`(5\pi)/6`
` (\pi)/3`
`\pi/6`
` ( vec a * hat i) hat i + ( vec a * hat k) hat j +( vec a * hat i) hat k`
`( vec a * hat j) hat i-(vec a * hat k) hat j-(vec a * hat i) hat k`
`( vec a * hat j) hat i+(vec a * hat k) hat j+(vec a * hat i) hat k`
`( vec a * vec a) +(hat i+hat j+ hat j)`
`2 sqrt(16 - (a.b)^2)`
`2 sqrt(4 - (a.b)^2)`
` sqrt(16 - (a.b)^2)`
`sqrt(4 - (a.b)^2)`
`0`
`pi/4`
`pi/2`
`pi`
`veca^2`
`3veca^2`
`4veca^2`
`2veca^2`
` - 5/2 hat i + (3sqrt3)/2 hat j`
` 1/2 hat i + (sqrt3)/2 hat i`
` - 1/2 hat i + (3sqrt3)/2 hat j`
None of these
`2`
`sqrt 7`
`sqrt 14`
`14`
` 5/3 ( hat i - 7 hat j + 2 hat k)`
` 5/3 (5 hat i + 5 hat j + 2 hat k)`
` 5/3 ( hat i + 7 hat j + 2 hat k)`
` 5/3 (-5 hat i + 5 hat j + 2 hat k)`
`50`
`50sqrt(2)`
`(50)/sqrt(2)`
`100`
`-1`
`sqrt(10) + sqrt (6)`
`sqrt(59)`
`sqrt(60)`
`vec a + vec b`
`vec a . vec b`
`1/2 |vec a xx vec b|`
` |vec a xx vec b|`
`| r-s | =2`
`| r+s | =1`
`| r +s | =2`
`|r-s | =1`
`sqrt 14`
`sqrt 6`
`49/36`
`4 sqrt 10`
` 1/2` sq. unit
`1` sq. unit
`2` sq. unit
`4` sq. unit
`-1`
`sqrt (10) + sqrt (6)`
`sqrt (58)`
`sqrt (59)`
`vecR `is parallel to` vecA`
`vecR `must be parallel to` vecB`
`vecR `must be perpendicular to ` vecB`
none of the options
`sqrt(12)`
`2 sqrt(120`
`3 sqrt(14)`
`2 sqrt(14)`
`a = 40`
`a = - 40`
`a =20`
`a= -20`
`1/sqrt(2) (-j + k)`
`1/sqry(3) (-i -j - k)`
`1/sqrt(5) (i -2j)`
`1/sqrt(3) (i- j - k)`
c is the arithmetic mean ot a and b
c is the geometric mean of a and b
c is the harmonic mean of a and b
c is equal to zero
(This question may have multiple correct answers)
c is the arithmetic mean of a and b
c is the geometric mean of a and b
c is the harmonic mean of a and b
c is equal to zero
`0`
`5//3`
`1`
`8//5`
`pi/2`
`pi/3`
`(2 pi)/3`
`(3 pi)/4`