Vector-RT Maths

The angle between  is  $¯A=2i+2j-k\&¯B=6i-3j+2k$  

• 89⁰

• 79⁰

• 61⁰

• 51⁰

The value of ‘a’ so that  are perpendicular is $¯A=2i+aj+k\&¯B=6i-3j$  

• -2

• -1

• 0

• 4

 Let   $¯A=i-2j+k\&¯B=4i-4j+7k.$   Find projection of vector  into

•  $17/9$  

•  $19/9$  

•  $22/9$  

•  $25/9$  

Find the work done in moving an object along a vector  $¯r=3i+2j-5k$    if the applied force is  $¯F=2i-j-k$  

• 3

• 6

• 9

• 12

A unit vector perpendicular to the plane  $¯A=2i-6j-$  of  and  $¯B=4i+3j-k$  

•  $3/7i+2/7j+6/7k$  

•  $3/7i-2/7j+6/7k$  

•  $3/7i-2/7j-6/7k$  

•  $3/7i+2/7j-6/7k$  

If  $u=2i+j+k$    and  $v=4i+2j-k$    then  $▁u×▁v=$  

•  $–i+6j+8k$  

•  $i+6j+8k$  

•  $–3i+6j$  

•  $i-6+8k$  

If   $(a)⃑=i+j+k,(b)⃑=4i+3j+4k,(c)⃑=i+∝j+βk$  are linearly dependent then the value of  $\alpha$   and  $\beta$   if | C | =  $\sqrt{3}$  

•  $±1,1$  
  

•  $1,-1$  

•  $-1,1$  

•  $1,0$  

 $[(-2i+k\&i\&-i+2j+k)]=$  

• 0

• 1

• -1

• 2

Find the value of ‘b’ so that  $2i-3j,i+bj+k,3i-k$   are coplanar

• -6

• -1

• 0

• 1

If magnitude of   $mi+(m+1)j+(m-1)k$  is 2 them m =

•  $2/3$  

•  $±√(2/3)$  

•  $±√(9/16)$  

•  $0$