Home
Class 12
MATHS
Write the value of p for which veca = 3...

Write the value of p for which `veca` = `3hati +2 hatj+9hatk , vecb`= `hati+phatj+3hatk ` are parallel

Text Solution

Verified by Experts

The correct Answer is:
`a to r ;b to s ; c to p ; d to q`
` [veca vecb vecc] =2 `
`Rightarrow[2veca xx vecb " " 3vecb xx vecc " "veccxxveca]^(2)= 6xx 4 =24 `
b. `[ veca vecb vecc ] =5 `
`Rightarrow[3 (veca + vecb)vecb+vecc2(vecc+veca)]`
`6[(veca +vecb)vecb +vecc(vecc + veca)] = 12 [vecavecb vecc]=60`
c. Given ` 1/2 |veca xx vecb | =20`
`1/2|(2veca+3vecb) xx (veca -vecb)|`
`5/2 xx 40 = 100`
d. Given ` |veca xx vecb|=30 Rightarrow |veca + vecb) xx veca |=|vecb xx veca|=30`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Integer type|17 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective type|19 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Comprehension type|27 Videos

  • DETERMINANTS

    CENGAGE PUBLICATION|Exercise All Questions|262 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|578 Videos

Similar Questions

Explore conceptually related problems

Determine the value of n so that the vectors vecA=2hati+4hatj-nhatk and vecB=3hati-4hatj+2hatk are perpendicular .

Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= hati+2hatj-3hatk and vecc= 3hati+lambdaj+5hatk are coplanar.

Find the angle between the two vectors vecA =hati-2hatj+3hatk and vecB=2hati+hatj+3hatk .

Find the angle between the two vectors vecA = hati + 2hatj + 3hatk and vecB = 2hati+ hatj + 4hatk .

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

Find the unit vector which is perpendicular to both veca = 2hati + 3hatj - hatk and vecb = 3hati - hatj + hatk and also find the angle between them.

Given two vectors veca=-hati + 3hatj + hatk and vecb =- 3hati + hatj + hatk find |vec a xx vec b|

Given two vectors veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj + 2hatk find |vec a xx vec b|

Given two vectors veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj -hatk find |vec a xx vec b|

Find |vecaxxvecb| , if veca=2hati-7hatj+7hatk and vecb=3hati-2hatj+2hatk